Angle r is 30 degrees less than twice the measure of angle t. angles r and t are supplementary. find the measure of each angle.

Angle T would be 70 degrees and angle R would be 110 degrees

Step-by-step explanation:

Since supplementary angles are equal to 180, we can model the angles with the measure below and then add together to get equal to 180.

Angle T = x

Angle R = 2x - 30

x + 2x - 30 = 180

3x = 210

x = 70

Now we know that Angle T is equal to 70 and we can use that to find the measure of Angle R

Angle R = 2x - 30

Angle R = 2(70) - 30

Angle R = 140 - 30

Angle R = 110

this answer is !

we have three similar triangles, because each has a right angle and shares an angle.   let's write the angles in order: opposite to short leg, long leg, hypotenuse.

cab similar to bad similar to cbd

or as ratios,

ca: ab: cb = ba: ad: bd = cb: bd: cd

we also know

ac = ad + cd

(ad+cd): ab: cb = ba: ad: bd = cb: bd: cd

(ad+cd)/cb=cb/cd

we have cb=6, ad=5 and seek x=cd.

we reject the negative root and conclude x=4

answer: 4