Question

15 Use the figure to find the measures of the numbered angles. 49 6 o 25 26 = Explain your reasoning.

Answer 1

AS shown in the figure :

a // b and t is a transversal

So, the angle of the measure 49 is congruent to the angle 5

Because they are corresponding angles

So, the measure of angle 5 = 49

The angles 5 and 6 are supplementary angles

So, the sum of the angles 5 and 6 is equal to 180

So, the measure of angle 6 = 180 - angle 5 = 180 - 49 = 131

So,

m∠5 = 49

m∠6 = 131