Question

A triangle has an angle that measures 50°. The other two angles are in a ratio of 4:9. What are the measures of those two angles?

Answer 1

Answer:

the other angles are 40° and 90°.

Step-by-step explanation:

First angle = 50°

Let the second and third angles be 4x and 9x respectively.

angle 1 + angle 2 + angle 3 = 180° ( angle

sum property of triangle )

=> 50° + 4x + 9x = 180°

=> 50° + 13x = 180°

=> 13x = 180° - 50°

=> 13x = 130°

=> x = 130/13

=>. x. = 10°

therefore, angle 2 = 4 × 10° = 40°

angle 3 = 9 × 10° = 90°

Sum of all angles = 50° + 40° + 90° = 180°.