Answer:
∠C = 45° ∠D = 30°
Step-by-step explanation:
Given in the figure attached.
∠A = 45° and ∠E = 15°
We have to find the measures of ∠C and ∠D.
(A) Since ∠A + ∠B + ∠C = 180°
45° + 90° + ∠C = 180°
135 + ∠C = 180°
∠C = 180 - 135 = 45°
(B) Now ∠C + ∠F = 180° ( supplementary angles )
45 + ∠F = 180
∠F = 180 - 45
= 135°
Since ∠D +∠E + ∠F = 180°
∠D + 15 + 135 = 180
∠D + 150 = 180
∠D = 180 - 150
= 30°
Therefore, ∠C = 45°
∠D = 30°
