The triangular face of the prism shown has an interior angle with a measure of 75º and an exterior angle with a measure of 110° What is the measure of the marked interior angle?

A 35°

Step-by-step explanation:

180°-110°=70°

180°-70°-75°=35°

The answer is A 110-75

Step-by-step explanation:

if you use photomath right away it will give you the answer not like this app that you have to wait for people.

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