Question

31.
Find the values of the unknowns in the following figures.​

Answer 1

Answer:

a = 110°

Step-by-step explanation:

Sum of exterior angles of triangle or any polygon = 360°

Here,

ext. <1 + ext. <2 + ext. <3 = 360°

=> 125° + 125° + a = 360°

=> a = 360° - 250°

= 110°

So, a= 110°

Hope it helps!!

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Answer 2

Given:

• Let the top vertice be A

• Let the bottom left vertice be B

• Let the bottom right vertice be C

To Find:

• The value of angle a

Solution:

At vertice A:

$125+BAC=180$     As they are a linear pair

$BAC=180-125$

$BAC=55$

At vertice B:

$125+ABC=180$      As they are a linear pair

$ABC=180-125$

$ABC=55$

Angle a= ABC+BAC    Using exterior angle property

$a=55+55$

$a=110$

Hence the a is 110 degrees.