Question

Solve.

Question in a triangle, the measure of the first angle is four times the measure of the second
angle. The measure of the third angle is 78° more than the second angle. What is the
measure of the first angle?
17°
95°
68°
43°
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Answer 1

The first angle is 68.

Explanation:

`x_(1)+x_(2)+x_(3)=180\\x_(1) = 4*x_(2)\\x_(3)=x_(2)+ 78\\4*x_(2) + x_(2) + x_(2)+ 78 = 180\\6*x_(2)=102\\x_(2) = 17\\`

So
`x_(1)=68` and
`x_(3)=95`