Let C be the measure of the first angle.
The measure of the first angle is 8C + 10°.
The measure of the second angle is 3C - 20°.
The measure of the third angle is 5C + 30°.
The sum of the measures of all three angles in a triangle is 180°:
(8C + 10°) + (3C - 20°) + (5C + 30°) = 180°
16C + 20° = 180°
16C = 160°
C = 10°
Therefore, the value of C is 10°.
The measure of the first angle is 8C + 10° = 8(10°) + 10° = 90°.
The measure of the second angle is 3C - 20° = 3(10°) - 20° = 10°.
The measure of the third angle is 5C + 30° = 5(10°) + 30° = 80°.
So the measures of the three angles are 90°, 10°, and 80°.
The measure of an angle in a triangle is 8C plus 10°. The second angle is 3C −20° and the third angle is 5C plus 30°. Find the value of c and the measure of all three angles
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