Question

The measure of one angle in a triangle is 8C +10°. The second angle is 3C subtract 20° and the third angle is 5C +30° find the value of C in the measures of all three angles.
Answer
What is the value of each one of those angles?
Answered by GPT 3.5
To find the value of C, we need to set up an equation using the fact that the sum of the angles in a triangle is always 180 degrees.

Let's start by adding together the three given angles and setting it equal to 180 degrees:

(8C + 10°) + (3C - 20°) + (5C + 30°) = 180°

Simplifying the equation:

16C + 20° = 180°

Next, we can isolate the C term by subtracting 20° from both sides:

16C = 160°

Finally, we can solve for C by dividing both sides of the equation by 16:

C = 160° / 16
C = 10°

Therefore, the value of C is 10 degrees.
Answered by GPT 3.5
To find the value of each angle, we can substitute the value of C into each expression:

First angle: 8C + 10° = 8(10°) + 10° = 80° + 10° = 90°

Second angle: 3C - 20° = 3(10°) - 20° = 30° - 20° = 10°

Third angle: 5C + 30° = 5(10°) + 30° = 50° + 30° = 80°

Therefore, the value of each angle is:

First angle: 90°
Second angle: 10°
Third angle: 80°