Question

Part B
The measure of <A is 71°What is the measure of <B ? Explain your reasoning
Respond in the space provided. please help​ will mark brainly thing

Answer 1

Answer:

$m\angle B=109^o$

Step-by-step explanation:

we know that

Quadrilateral ABCD is a trapezoid

A trapezoid has two parallel lines

Segment AD is parallel to segment BC

so

$m\angle A+m\angle B=180^o$ ----> by consecutive interior angles (supplementary angles)

we have

$m\angle A=71^o$

substitute

$71^o+m\angle B=180^o$

$m\angle B=180^o-71^o$

$m\angle B=109^o$