Question

Find the missing angle in the figure below.

Answer 1

108 degrees

Explanation:

lets imagine that pqr are the angles of the triangle

<rpq=53°(opposite<)

for <prq 180°-125°(< on a straight line)=55°

<pqr= a+b+c

= 55°+53°+c= 180°(< in a ∆)

= 108°+c =180°

collect like terms

c= 108°-108°

c= 72°

Therefore<pqr= 72°

for the unknown angle which is x

55+53=108( the two sides are facing the exterior <)

Answer 2

it is 108

Explanation:

you know that the 53 angle is also inside the triangle and that 180-125 gives you the second angle 55. you than calculate that the last inner angle is 72 and substract that from 180.