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Can someone help me solve this maths please. My nephew came to me with it.Thanks

X=60
Its an isoceles triangle

Ladylite:
X=60
Its an isoceles triangle

Can you clearly show working pls. Happy Easter

semiquaver:
Can someone help me solve this maths please. My nephew came to me with it.Thanks

x is 36°

Fact:
<A = < D = x
Also, <A = < D = <BCD = x

Let <ABC be y, therefore <BCD is also y (base angles of isosceles triangle)

From ∆ABC; y + y + x = 180°,
2y + x = 180° ............Eqn 1

From ∆BCD; x + x + (180° - y) = 180°,
y = 2x ......... Eqn 2

Put Eqn 2 in Eqn 1:
2(2x) + x = 180°,
5x = 180°,
x = 36°

dejt4u:
x is 36°

please Sir can you show how you got it?

x is 36

semiquaver:
please Sir can you show how you got it?

semiquaver:
Can someone help me solve this maths please. My nephew came to me with it.Thanks

x is 36°

Fact:
<A = < D = x ((base angles of isosceles triangle)
Also, <A = < D = <BCD = x

Let <ABC be y, therefore <BCD is also y (base angles of isosceles triangle)

From ∆ABC; y + y + x = 180°,
2y + x = 180° ............Eqn 1

From ∆BCD; x + x + (180° - y) = 180°,
y = 2x ......... Eqn 2

Put Eqn 2 in Eqn 1:
2(2x) + x = 180°,
5x = 180°,
x = 36°

dejt4u:
x is 36°

Fact:
<A = < = x
Also, <A = < = <BCD = x

Let <ABC be y, therefore <BCD is also y (base angles of isosceles triangle)

From ∆ABC; y + y + x = 180°,
2y + x = 180° ............Eqn 1

From ∆BCD; x + x + (180° - y) = 180°,
y = 2x ......... Eqn 2

Put Eqn 2 in Eqn 1:
2(2x) + x = 180°,
5x = 180°,
x = 36°

Thanks boss

can you solve this also? @mrshape

rhajaan:
can you solve this also?
@mrshape

I have provides the solution here before.
It is 20°