Question

The measures of the angles of a triangle are x plus 20 degrees , 2x minus 30 degrees and 3x minus fifty degrees . Find each of these angles.

Answer 1

Step-by-step explanation:

Given:

Measure of angles of triangle:

(x+20, 2x-30, 3x-50)

Sum of all angles of triangle= 180

=>(x+20)+(2x-30)+(3x-50)= 180

=> x = 40

Therefore, angles of the triangle:

(60, 50, 70)

Hence, Solved.

Hope, it helps!

Answer 2

Answer:

The three angles are 60°,50° & 70°

Step-by-step explanation:

Angle sum property of a triangle states that: Sum of three angles of a triangle is 180°.

therefore, x+20°+2x-30°+3x-50°=180°

6x-60°=180°

x-10°=30° [by dividing equation by 6]

x=30°+10°

x=40°

Thus, the three angles are

A--- x + 20°=40°+20°

=60°

B--- 2x-30°=2(40°)-30°

=80°-30°

=50°

C--- 3x-50°=3(40°)-50°

=120°-50°

=70°