Question

If the ratio of the measures of the
interior angles on the same side of the
transversal is 5:4, then the measure of
the smaller angle is
O 40°
O 50°
O 80°
O 100°​

Answer 1

Answer:

80 degree

Step-by-step explanation:

given the ratio of the measures of the interior angle on the same side of transversal is 4:5

which means one angle is 4x

another angle is 5x

so we know that sum of the angles on the same side of transversal is 180 degree

therefore 4x + 5x = 180

9x = 180

X = 180 /9 = 20

therefore X = 20 degree

now 4x = 4 X 20 = 80 degree

5x = 5 X 20 = 100 degree

hence the measure of the smaller angle is 80 degree

Answer 2

Answer:

the answer is 80°

Step-by-step explanation:

for the step by step explanation refer the pic