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Mathematicians In The House Should Solve This Problem - Education - Nairaland

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Mathematicians In The House Should Solve This Problem by kponkedenge(m): 11:09pm On Jun 15, 2019
Mathematicians in the house fall in and give reasons for choosing your answer.

Re: Mathematicians In The House Should Solve This Problem by yoddy(m): 11:21pm On Jun 15, 2019
the answer is 75 degrees.


considering triangle ABC, (sum of angles in a triangle is 180 degrees) therefore angle ACB = 85 degrees

angle ACB = angle DCG (alternate angles)

Therefore angle DGC = 75 degrees (sum of angles in a triangle is 180 degrees)

angle EGF = x = 75 degrees (alternate angles)

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Re: Mathematicians In The House Should Solve This Problem by beeblack: 11:23pm On Jun 15, 2019
75
Re: Mathematicians In The House Should Solve This Problem by Gurumaharaji(m): 11:40pm On Jun 15, 2019
Sum of angle in a triangle is 180...therefore angle ABC =180 ....AB= 55+40=95.....To get C 180-95=75 .....C is therefore 75
Re: Mathematicians In The House Should Solve This Problem by Rednaxelot: 11:54pm On Jun 15, 2019
x is 400

Corresponding angles are equal.

<ABC = 400
<EGF = x0

<ABC corresponds to <EGF
Hence x0 = 400

2 Likes

Re: Mathematicians In The House Should Solve This Problem by Shukusheka(m): 12:22am On Jun 16, 2019
After thorough calculation, I got 175. My answer isn't even on the option list.





I'm a lawyer.
Re: Mathematicians In The House Should Solve This Problem by emekachimek: 2:25am On Jun 16, 2019
x is 40°
Explanation: corresponding angles are equal

G is 140°
C is 60°

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Re: Mathematicians In The House Should Solve This Problem by bjt(m): 4:57am On Jun 16, 2019
Line AB is parallel to EG
ABC =EGF
The answer is 40deg
Re: Mathematicians In The House Should Solve This Problem by kponkedenge(m): 6:42am On Jun 16, 2019
Shukusheka:
After thorough calculation, I got 175. My answer isn't even on the option list.





I'm a lawyer.

grin grin
Re: Mathematicians In The House Should Solve This Problem by Yames70(m): 9:37am On Jun 16, 2019
X =75 degrees
Deductions from sum of angles in a triangle and alternate angles.

1 Like

Re: Mathematicians In The House Should Solve This Problem by Nobody: 10:57am On Jun 16, 2019
yoddy:
the answer is 75 degrees.


considering triangle ABC, (sum of angles in a triangle is 180 degrees) therefore angle ACB = 85 degrees

angle ACB = angle DCG (alternate angles)

Therefore angle DGC = 75 degrees (sum of angles in a triangle is 180 degrees)

angle EGF = x = 75 degrees (alternate angles)







Some places where you mentioned alternate angles is actually meant to be vertically opposite.
Re: Mathematicians In The House Should Solve This Problem by justli: 11:25am On Jun 16, 2019
Not that hard: 75
Re: Mathematicians In The House Should Solve This Problem by yoddy(m): 1:23pm On Jun 16, 2019
Darivie04:

Some places where you mentioned alternate angles is actually meant to be vertically opposite.


Thanks. You're right
Re: Mathematicians In The House Should Solve This Problem by Sconty09(m): 3:09pm On Jun 16, 2019
Gurumaharaji:
Sum of angle in a triangle is 180...therefore angle ABC =180 ....AB= 55+40=95.....To get C 180-95=75 .....C is therefore 75

How was your 180-95=75 ?
Re: Mathematicians In The House Should Solve This Problem by success1smyn(m): 11:35pm On Jun 16, 2019
x = 40deg. (corresponding angles are equal)

though your diagram is not correct. <A should be equal to <D. Cos they are alternate angles
Re: Mathematicians In The House Should Solve This Problem by beeblack: 6:04pm On Jul 16, 2019
Answer= 75deg.



N:B= Angle ACB= DCG (opposite angle, not alternate angle)
Re: Mathematicians In The House Should Solve This Problem by Aricoswet(m): 11:34pm On Jul 16, 2019
Hello, the diagram is wrong though
that 20° should be 55° or vice vicsa
<A should be equal to angle <D (alternate angles)
Re: Mathematicians In The House Should Solve This Problem by kponkedenge(m): 10:46am On Aug 10, 2021
CC: lalasticlala, Dominique.

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