Question

If the angles of a triangle are in the ratio 4:5:9, find the measures of the angles of the triangle and name the triangle.

Answer 1

hey mate here is your answer....
let the angles be 4x,5x,9x.
now ,
4x+5x+9x=180(ASP)
=18x=180
x= 10
so , 4×10=40
5× 10= 50
9× 10=90
so it's is a scalene triangle ,as the angles are not equal.
##hope it helps . mark it as brainliest.##

Answer 2

Answer:

The three angles of the triangle are 40, 50 and 90

The given triangle is a right-angled triangle

Step-by-step explanation:

Given,

The angles of a triangle are in the ratio 4:5:9

To find,

The angles of the triangle and the type of the triangle

Solution:

Recall the concept

Sum of three angles of a triangle = 180°

Since the angles of the triangle are in the ratio 4:5:9

Then the angles are 4x, 5x and 9x

Since the sum of three angles of a triangle is 180°, we have

4x+5x+9x = 180

18x = 180

x = 10

Hence the three angles of the triangle are 40, 50 and 90

Since one angle of the triangle is 90°, the given triangle is a right-angled triangle

#SPJ3