Question

3valuate the diagram below. Find the values of m and n.

Answer 1

Answer:

m = 20 and n = 35

Step-by-step explanation:

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

Thus the 2 base angles are congruent, that is

n = $\frac{180-110}{2}$ = $\frac{70}{2}$ = 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