Use the relationships between angle pairs to find the measure of angle f.

Question

Angle a and angle b are complementary angles. Write an equation to represent the relationship between angle a and angle b.
dºcºbºaºfºeº
Great job!
Angle a and angle f are supplementary angles. Write an equation to represent the relationship between angle a and angle f.
a+b=90
dºcºbºaºfºeº
Great job!
The measure of angle b is 44°. You want to find the measure of angle f. You know the measure of angle b, so let's start by using the first equation to find the measure of angle a. Solve on paper. Then, enter your answer on Zearn.
dºcºb = 44ºaºfºeº
a+b=90
a+f=180

a=

Answer 1

Given the relationships:

1. Angle \( a \) and angle \( b \) are complementary: \[ a + b = 90^\circ \]

2. Angle \( a \) and angle \( f \) are supplementary: \[ a + f = 180^\circ \]

We know the measure of angle \( b \): \[ b = 44^\circ \]

Now, we can find the measure of angle \( a \) using the first equation: \[ a + 44^\circ = 90^\circ \]

To solve for \( a \): \[ a = 90^\circ - 44^\circ \] \[ a = 46^\circ \]

Now, we can find the measure of angle \( f \) using the second equation: \[ a + f = 180^\circ \] \[ 46^\circ + f = 180^\circ \]

To solve for \( f \): \[ f = 180^\circ - 46^\circ \] \[ f = 134^\circ \]

Thus, the measure of angle \( f \) is \( 134^\circ \).