Question

one angle of a triangle is 85 degrees and other two angles are in the ratio 8 is to 11 the measures of other two angles are

Answer 1

sum of angles in a triangle = 180°
one angle = 85
sum of other 2 angles = 180 - 85 = 95°
ratio = 8:11
sum of ratios = 8 + 11 = 19
1st angle = 8/19×95
= 8 × 5
= 40

2nd angle = 11/19×95
= 11× 5
= 55

hope this helps

plz mark brainliest

Answer 2

Given: One angle of a triangle is 85 degrees and the other two angles are in the ratio 8:11.

To find: We have to find the other two angles.

Solution:

We know that the sum of the three angles of a triangle is 180°.

One angle is 85°.

So, the sum of the other two angles is 180-85=95°.

The other two angles are present in the ratio of 8:11.

Let the other two angles be 8x and 11x.

So, we can write-

$11x + 8x = 95 \\ 19x = 95 \\ x = 5$

The value of x is 5.

So, the other two angles are 8×5=40 and 5×11=55°.

So, the other two angles are 40° and 55°.