Question

I have to find angles mnop for 7 and wxyz for 8​

Answer 1

• 128°, 128° and 52°, 52°

• 110°, 110° and 70°, 70°

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°

• ∠M = ∠N = 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°