25. angle e and angle f are supplementary. if angle e =
(9x - 38)° and anglef = (2x + 42)º, find angle f.
angle f =

The measure of angle F is 74degrees

The sum of supplementary angles is equal to 180 degrees

If angle E nd and angle F are supplementary, hence:

m<E + m<F = 180

Given the following:

angle E =  (9x - 38)°

angleF = (2x + 42)º

Substitute into the expression:

9x - 38 + 2x + 42 =  180

9x +2x + 4 = 180

11x + 4 = 180

11x = 180 - 4

11x = 176

x = 176/11

x= 16

Get the angle F

angle F = 2x + 42

<F = 2(16) + 42

<F = 32 + 42

<F = 74degrees

Hence the measure of angle F is 74degrees

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Angle F = 74°

Step-by-step explanation:

Step 1: Find the value of x

Rule: Sum of supplementary angles is equal to 180°.

Angle E + Angle F = 180°

9x - 38 + 2x + 42 = 180

11x + 4 = 180

11x = 176

x = 16

Step 2: Find angle F

Angle F = 2x + 42

x = 16

Angle F = 2(16) + 42

Angle F = 32 + 42

Angle F = 74°

Therefore, angle F is 74°.

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