35.3k views
5 votes
3valuate the diagram below. Find the values of m and n.

3valuate the diagram below. Find the values of m and n.-example-1
User Kimb
by
7.2k points

1 Answer

6 votes

Answer:

m = 20 and n = 35

Explanation:

The triangle on the right has 2 congruent sides and is isosceles

Thus the 2 base angles are congruent, that is

n =
(180-110)/(2) =
(70)/(2) = 35

The external angle of a triangle is equal to the sum of the 2 opposite internal angles.

110 is an external angle to the triangle on the left, thus

m + 90 = 110 ( subtract 90 from both sides )

m = 20

User Peder
by
6.8k points