Question

Find all the angle measures.

Angle
Measure
Angle R
Angles
Angle Q
R
?
ه
135°
Su
S
T

Answer 1

angle R=135 degrees

angle S=45 degrees

angle Q=45 degrees

Explanation:

angle R=angle T

angle S=angle Q

angle S=180-135=45

Answer 2

135°, 45°, 45°

Explanation:

The opposite angles in a parallelogram are congruent, thus

∠ R = ∠ T = 135°

Consecutive angles are supplementary , sum to 180°, then

∠ S + ∠ T = 180° , that is

∠ S + 135° = 180° ( subtract 135° from both sides )

∠ S = 45°, then

∠ Q = 45° ( opposite and congruent to ∠ S )