Question

if one of the angles of the triangles is 45° and other two angles are in the ratio 4:5, find the measure of all the angles.

Answer 1

Answer:

angle 1 = 45

angle 2 = 60

angle 3 = 75

Step-by-step explanation:

let x be the common of ratio

ATQ:-

angle1 = 45

angle2 = 4x

angle3 = 5x

angle1 + angle2 + angle3 = 180                 (angle sum property of a triangle)

45 + 4x + 5x = 180

9x = 180 - 45

9x = 135

x = 15  

angle 2 = 4x

                4 X 15

                 60

angle 3 = 5x

                5 X 15

                 75

Answer 2

Answer:

Step-by-step explanation:

Given, 1 angle = 45°

Let others angle be 4x and 5x.

We know that, sum of all angles of triangle=180°

i.e.,45°+4x+5x=180°

9x=180°-45°

x=15°

Other angles are 4×15,5×15

i.e., 60° and 75°