Question

the three angles of a triangle are in the ratio 4 ratio 5 ratio 9 ratio find their measures

Answer 1

Answer:

Step-by-step explanation:

The sum of the angles of a triangle is 180 degrees. As the ratio of the angles of the triangle is 4:5:9 they can be taken to be 4x, 5x and 9x. 4x + 5x + 9x = 180.

- 18x = 180

- x = 10

this gives angle of the triangle as 40,50 and 90 degrees

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Answer 2

Answer : 40 , 50 , 90

Step-by-step explanation:

Sum of Angle of a triangle = 180

Let the measure of angles be 4p , 5p , 9p

According to the Question

4p + 5p + 9p = 180 (Angle sum Property)

18p = 180

$\bf\huge p = \frac{180}{18}$

p = 10

First measure ⇒ 4p = 4 × 10 = 40

Second measure ⇒ 5p = 5 × 10 = 50

Second measure ⇒ 9p = 9 × 10 = 90