Question

the sum of the measures of the angles of a trapezoid is 360. find the missing measure. top right corner 100°, top left corner 100°, bottom right corner d°, bottom left corner 80°

Answer 1

The measure of missing angle i.e ∠d is 80°

Explanation:

Given that the sum of the measures of the angles of a trapezoid is 360. find the missing measure. top right corner 100°, top left corner 100°, bottom right corner d°, bottom left corner 80°. we have to find he value of d.

According to question

100°+ 100°+ 80°+d°=360°

⇒ 280°+d=360°

⇒ d=80°

Hence, the measure of missing angle i.e ∠d is 80°

Answer 2

The missing measure is 80°

Explanation:

Since the sum of the measures of the angles of the trapezoid=360°

⇒∠DAB+∠ABC+∠BCD+∠CDA=360°

It is given in the question that ∠A=80°, ∠B=100°, ∠C=100° and need to find the measure of ∠D,

⇒80°+100°+100°+∠CDA=360°

⇒280°+∠CDA=360°

⇒d=360°-280°

⇒d=80°

Thus, the missing measure is 80°