Problem 1
Answer: 79
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Work Shown:
For any triangle, the three angles always add to 180
For any isosceles triangle, the base angles are congruent. The base angles are opposite the congruent sides. We see that angle O = angle H.
O+H+T = 180
H+H+T = 180
2H+T = 180
2H+22 = 180
2H = 180 - 22
2H = 158
H = 158/2
H = 79
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Problem 2
Answer: 54
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Work Shown:
We'll use the same ideas as problem 1.
In this case, angle O = angle D = 63 since they are the base angles opposite the congruent sides.
D+G+O = 180
63+G+63 = 180
G+126 = 180
G = 180-126
G = 54