Question

one angle of a triangle measures 50°. the other two angles are in a ratio of 6:7. what are the measures of those two angles? ° and °

Explanation:

Step1: Find the sum of the other two angles

The sum of angles in a triangle is 180°. One angle is 50°, so the sum of the other two angles is $180 - 50=130^{\circ}$.

Step2: Set up an equation based on the ratio

Let the two angles be 6x and 7x. Then $6x + 7x=130$. Combining like - terms gives $13x = 130$.

Step3: Solve for x

Dividing both sides of the equation $13x = 130$ by 13, we get $x=\frac{130}{13}=10$.

Step4: Find the measures of the two angles

The first angle is $6x = 6\times10 = 60^{\circ}$, and the second angle is $7x=7\times10 = 70^{\circ}$.

Answer:

60, 70