Question

The three angles in a triangle always add up to 180°. If one angle in a triangle is 80° and the second is 4 times the third, what are the three angles?

OA. 80°, 80°, 20°
B. 80°, 78°, 22°
C. 80°, 81°, 19°
D. 80°, 79°, 21°

Answer 1

The three angles in the triangle are 80°, 80°, and 20°.

Step-by-step explanation:

To find the three angles of the triangle, we need to set up an equation based on the given information. Let's say the third angle is x degrees. The second angle is then 4 times x, which is 4x degrees. The sum of the three angles is 180 degrees, so we have the equation: 80 + 4x + x = 180. Simplifying the equation, we get 5x + 80 = 180. Subtracting 80 from both sides, we have 5x = 100. Dividing both sides by 5, we get x = 20. Therefore, the three angles are 80 degrees, 4 times 20 degrees (which is 80 degrees), and 20 degrees.

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