Answer:
Step-by-step explanation:
7.........................................
Trapezium MNOP
Top two angles are equal as it is isosceles
- 8x - 16 = 6x + 20
- 8x - 6x = 20 + 16
- 2x = 36
- x = 18
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- 8x - 16 = 8*18 - 16 = 128°
Angles O and P are equal too and they are supplementary with angles M and N. Supplementary angles add up to 180° as per definition.
- ∠O= ∠P = 180° - 128° = 52°
8.........................................
Similar to problem 7, we have isosceles trapezium WXYZ
∠X and ∠Y are supplementary angles:
- 13x - 7 + 8x - 2 = 180
- 21x = 189
- x = 9
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- ∠X = ∠W = 13*9° - 7° = 110°
- ∠Y = ∠Z = 180° - 110° = 70°
