Question

one angle of a triangle is 85degrees and the other are in the ration 8:11, find the measure of each angle.

Answer 1

Step-by-step explanation:

We know that 85 +8x +11x =180 (angle sum property of triangle)

Here we let missing value as x

Now x=95/19

After substituting the value of x in 11x and 8x

We get angle 1 as ( 95/19) *11

Angle 2 as (95/19) *8

Answer 2

Given

• One angle of triangle (∠A) = 85°

• ∠B : ∠C = 8 : 11

To find

• The other two angles
• (∠B) and (∠C)

Solution

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

☯ Angle Sum property ☯

• ∠A + ∠B + ∠C = 180°
• ∠A + 8x + 11x = 180°  (∠B:∠C = 8:11)
• 85° + 8x + 11x = 180°
• 19x = 180 - 85
• 19x = 105
• x = 95/19
• x = 5°

☯ Measure of ∠x (angle A) is 5°

☯ Measure of ∠8x (angle B) is 8×5 is 40°

☯ Measure of ∠11x (angle C) is 11×5 is 55°