Question

Angle a and angle b are supplemetary angles. If m angle a = (5x+25) and m angle b = (x+17) then find the measure of angle a

Answer 1

Answer:

The measure of angle a is of 140º.

Step-by-step explanation:

Supplementary angles:

If two angles are supplementary, their measures add to 180º.

Angle a and angle b are supplemetary angles.

This means that

<a + <b = 180º.

m angle a = (5x+25) and m angle b = (x+17)

So

$5x + 25 + x + 17 = 180$

$6x + 42 = 180$

$6x = 138$

$x = \frac{138}{6}$

$x = 23$

Measure of angle a:

$<a = 5x + 25 = 5(23) + 25 = 140$

The measure of angle a is of 140º.