Find the measure of each angle indicated (quadrilaterals) I think it’s 100 I just wanna make sure if it is

Find the measure of each angle indicated.

○ 44°

○ 68°

○ 59°

○ 100°

We will simply substitute the given values in the formula,

⇒ Sum of all angles of a Quadrilateral = 360°

⇒ ∠S + ∠T + ∠Q + ∠R = 360°

Substituting the values given, We get,

⇒ 95° + 85° + 80° + ∠R = 360°

Calculating further, We get,

⇒ 260° + ∠R = 360°

Transposing 260° to Right Hand Side, We get,

⇒ ∠R = 360° - 260°

Calculating further, We get,

⇒ ∠R = 100°

∴ ∠R = 100°

The measure of ∠R is 100°

Hence, Last option i.e., 100° is correct answer.

a.

step-by-step explanation:

step 1 distribute 2 to every term in the parentheses

step 2 add 10 on both sides of the equal sign

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