Question

Find the value of the unknown angles in the following figure:​

Answer 1

Answer:

a)35 b) 60 c) 120

Step-by-step explanation:

acc. to exterior angle property of triangle a+b =d

and a straight line is of 180 degree so if exterior angle is 120 degree then the interior angle would be 180-120=60

Answer 2

Step-by-step explanation:

(a) Let angle 90 be y

Let angle 125 be z

$x + y = 125$

$x + 90 = 125$

$x = 125 - 90 \\ = 35$

angle

$x = 35$

This answer is done is exterior angle property. It can be also done by linear pair

(b) Let angle 60 be y and angle 120 be z

$x + y = 120 \\ x + 60 = 120 \\ x = 120 - 60 \\ x = 60$

(c) Let angle 50 be y and angle 70 be z

$y + z = x \\ 50 + 70 = x \\ 120 = x$

This is done by exterior angle property because sum of two opposite angles is equal to the exterior angle.

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