Question

Please help me find measure of x!

Answer 1

angle BAC+ 116°=180°(being straight angle)

angle BAC=180°-116°

angle BAC=64°

64°+60°+x°=180°(sum of angles of triangle is equal to 180°)

124°+x=180°

x=180°-124°

x=56°

Answer 2

56

Explanation:

angle BAD is an exterior angle of triangle ABC

angle x and angle C are opposite interior angles of exterior angle BAD

An exterior angle of a triangle is equal to the sum of its opposite interior angles

Hence angle BAD = x + angle C

we are given that angle BAD = 116 and angle C = 60

So 116 = x + 60

Notice that we just created an equation that we can use to solve for x

We now solve for x algebraically

116 = x + 60

Subtract both sides by 60

116 - 60 = 56

60 - 60 cancels out

We're left with x = 56