Respuesta :

Ujjwal11

Here,

Given,

<a = <x and <b = <y

To prove = <x+ <y + <z= 180°

Then,

<a + <b + <z = 180° ( St. angle )

▲ <x + <y + <z = 180°

Hence, Proved

I hope you understand...

Thanks...

abidemiokin

From the diagram shown, the sum of the angle on the straight line is 180degrees.

This means that:

m<a + m<z + m<b = 180 ............. 1

Given the following

m<a = m<x ...... 2

m<b = m<y ...... 3

Substitute equations 2 and 3 into equation1 to have:

m<x + m<y + m<y = 180

Rearrange

m<x + m<y + m<z = 180

This shows the required proof.

Learn more here: https://brainly.com/question/18481614

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