Question

1. Solve for x. Then find the angle measures of thetriangle?(4x)(6x+55)(9x+30)​

Answer 1

Answer:

x =  5.

First angle = 20°,  Second angle = 85°,  Third angle  = 75°

Step-by-step explanation:

The first angle of the triangle  =  (4 x)

The second  angle of the triangle  =  (6x + 55)

The third angle of the triangle  =  (9x + 30)

By ANGLE SUM PROPERTY of a triangle:

First angle + Second  angle +  Third angle  = 180°

⇒ (4 x)  + (6x+55)   +  (9x+30)​  = 180°

or, (4x + 6x + 9x) + ( 55 + 30) =  180°

or, 19x = 180 - 85

or, 19 x  = 95   ⇒ x = 95 /19 = 5

or, x = 5

Hence, first angle of the triangle =  (4 x) = 4 x 5 = 20°

Second angle = ( 6x + 30)  = 6(5) + 55 = 85°

Third angle = (9x  + 30  = 9(5) + 30 = 75°