Answer: The measure of angle W is 124°.
Step-by-step 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°.
