What is the measure of angle 5?

∠ 5 = 133°

Step-by-step explanation:

∠ 1 and ∠ 2 are adjacent and supplementary, thus

∠ 1 = 180° - 47° = 133°

∠ 1 and ∠ 5 are corresponding and congruent, thus

∠ 5 = ∠ 1 = 133°

76 is no. 5's measurement

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1