Question

Angle W measures 68 degrees more than angle F. Angles Wand

Fare supplementary. What is the measure of angle W?

Answer 1

Answer: The measure of angle W is 124°.

Explanation:

Given: Angles W and F are supplementary.

We know that the sum of two supplementary angles is 180 degrees.

So, ∠W + ∠F = 180° (i)

As per given,

∠W = ∠F + 68° (ii)

Put value of ∠W from (ii) in (i)

∠F + 68°+∠F = 180°

⇒ 2 ∠F = 180°- 68°

⇒ 2 ∠F = 112°

⇒ ∠F = 56°

From (ii),

∠W = 56° + 68°

⇒ 124°

Hence, the measure of angle W is 124°.