144k views
16 votes
Refer to the figure below. What are the answers for the four blanks?

Refer to the figure below. What are the answers for the four blanks?-example-1
User Tremayne
by
3.8k points

1 Answer

5 votes

Answer:

see explanation

Explanation:

the figure is an isosceles trapezium

The legs are congruent , that is

BC = AD = 15 units

The upper base angles are congruent , so

∠ B = ∠ A = 145°

Any lower base angle is supplementary to any upper base angle, that is

∠ C + ∠ B = 180°

∠ C + 145° = 180° ( subtract 145° from both sides )

∠ C = 35°

The lower base angles are congruent , so

∠ D = ∠ C = 35°

User Leks
by
4.7k points