Question

B) Find the measure of the indicated angle in each rhombus.

Answer 1

4) ∠J = ∠L = 88°; ∠K = 92°

5) ∠P = ∠R = 34°; ∠S = 146°

6) ∠T = 54°; ∠U = ∠W = 126°

Explanation:

You want the remaining angles in each rhombus where one angle is specified.

Angle relations

In a rhombus, as in any parallelogram, opposite angles are congruent, and adjacent angles are supplementary.

Application

In each of the rhombi, the adjacent angle is supplementary:

4) 180° -92° = 88°

5) 180° -146° = 34°

6) 180° -54° = 126°

Then the angle measures of interest are ...

4) ∠J = ∠L = 88°; ∠K = 92°

5) ∠P = ∠R = 34°; ∠S = 146°

6) ∠T = 54°; ∠U = ∠W = 126°