Question

If ∠5 and ∠6 are a linear pair, m∠5 = (4x-20)°, and m∠6 = x°, then find m∠5. *

Answer 1

Value of ∠5 is 140°

Given that;

∠5 and ∠6 are a linear pair

∠5 = (4x - 20)°

∠6 = x°

Find:

Value of ∠5

Computation:

We know that, sum of linear pair angle is 180°

So,

∠5 + ∠6 = 180°

(4x - 20)° + x° = 180°

4x - 20 + x = 180

5x - 20 = 180

5x = 180 + 20

5x = 200

x = 200 / 5

x = 40

So,

Value of ∠5 = (4x - 20)°

Value of ∠5 = 4(40) - 20

Value of ∠5 = 160 - 20

Value of ∠5 = 140°

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