Question

Find all the missing angles in the diagram below. Explain how you used at least two different angle theories to find some of these angles.

Answer 1

<A = 90

<B = 50

<C = 90

<D = 40

Explanation:

C:

vertical angles are congruent so the angle left of C is 40. The angle right to C is 50 because alternate interior angles are congruent

The three angles together are supplemental

180 - 50 - 40 = 90

A:

A = C vertical angles are congruent

A = 90

D:

A, D and 50 are supplemental

180 -90-50 = 40

B

The sum of the interior angles of a triangle are 180

180 - 40 - 90 = 50

Answer 2

Angle A is 90, angle B is 50, angle C is 90, and angle D is 40.