One angle in a triangle is 100 degrees. the other two angles are congruent. what is the measure of one of the missing angles?
(a) 40°
(b) 80°
(c) 130°
(d) 140°

A

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

let x be the measure of the congruent angles, then

x + x + 100 = 180, that is

2x + 100 = 180 ( subtract 100 from both sides )

2x = 80 ( divide both sides by 2 )

x = 40

Thus the measure of one of the congruent angles is 40°

37

step-by-step explanation:

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6