Question

If angle g measures ______, what is the measure of angle h?
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2)
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4)

Answer 1

The measure of angle h is 36^\circ, and the measure of angle g is 144^\circ because they are supplementary, and g is 4 times h.

Step-by-step explanation:

Let's denote the measure of angle h as h. Since angle g is supplementary to angle h, the sum of their measures is 180^\circ.

Given that the measure of angle g is 4 times the measure of angle h, we can express g in terms of h:

g = 4h

Now, set up the equation for the sum of the measures of angles g and h:

g + h = 180^\circ

Substitute the expression for g:

4h + h = 180^\circ

Combine like terms:

5h = 180^\circ

Now, solve for h:

h = {180^\circ} / {5}

h = 36^\circ

Now that we know the measure of h, we can find the measure of g:

g = 4h

g = 4 x 36^\circ

g = 144^\circ

Therefore, the measure of angle h is 36^\circ and the measure of angle g is 144^\circ.

Your complete question is: If angle g and angle h are supplementary and measure for angle is 4 times measure for angle h, what are the measures of angle g and h?