1) ∠C and ∠G are supplementary while ∠A and ∠G are complementary.
2) Yes, ∠D is supplementary to ∠GAH
This is based on understanding complementary and supplementary angles.
By definition, complementary angles are two angles whose sum is equal to 90°. Meanwhile supplementary angles are those whose sum is equal to 180°.
- 1) From the angles drawn, we can see that ∠A and ∠G are less than 90° while ∠C is greater than 90° but less than 180°.
From inspection, ∠A looks same angle with ∠G. But, for them to be complementary they have to add up to 90°. Thus;
∠A + ∠G = 90°
Since ∠A = ∠G, then ∠A = ∠G = 90/2 = 45°
Now, ∠C appears to be the remaining part of ∠G to complete a straight line.
We know that sum of angles on a straight line is 180°
Thus;
∠C + ∠G = 180°
∠C + 45° = 180°
∠C = 180° - 45°
∠C = 135°
Thus, ∠C and ∠G are supplementary while ∠A and ∠G are complementary.
For ∠D to be supplementary to ∠GAH, it means that ∠GAH must be 180° - 63° = 117°
By inspection, it looks permissible.
Thus, ∠D is supplementary to ∠GAH
Read more at; brainly.com/question/4853862
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