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Answer:
m∠6 = 116°
Step-by-step explanation:
<u>first find x:</u>
7x - 17 = 2x + 78
subtract 2x from both sides: 5x - 17 = 78
add 17 to both sides: 5x = 95
divide by 5: x = 19
<u>plug x into 7x - 17</u>
7(19) - 17 = 116
∠6 and 7x - 17 are vertical angles and therefore congruent, so m∠6 also = 116°
To find the value of C: Use the Pythagorean Theorem
4^2 + 3^2 = c^2
16 + 9 = c^2
25 = c^2
sqrt of 25 = c
c = 5
