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

The measure of angle a is of 140º.

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 = (138)/(6)`

`x = 23`

Measure of angle a:

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

The measure of angle a is of 140º.