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

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Step-by-step explanation:

Answer 2

Answer:

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One angle of triangle = 50°

Ratio of other two angles = 4:9

LET THE OTHER TWO ANGLES BE X.

So , other two angles will be 4x and 9x.

AS WE KNOW , SUM OF ALL ANGLES OF A TRIANGLE IS EQUAL TO 180°. [ANGLE SUM PROPERTY]

50° + 4x + 9x = 180°

=> 50° + 13x = 180°

=> 13x = 180° - 50°

=> 13x = 130°

=> x = 130°/13

=> x = 10°

So , second angle = 4x

= 4× 10°

= 40°

Third angle = 9x

= 9 × 10°

= 90°

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