Question

I did the first one I need help on this that’s all

Answer 1

m<A = 70 deg

Explanation:

The sum of the measures of the angles of a triangle is 180 deg. Add the three measures and set equal to 180. Solve for x. then use the value of x and the expression for m<A to find the measure of angle A.

m<A + m<B + m<C = 180

5x - 25 + 2x + 10 + 3x + 5 = 180

10x - 10 = 180

10x = 190

x = 19

m<A = 5x - 25 = 5(19) - 25 = 95 - 25 = 70

Answer: m<A = 70 deg

Answer 2

The three angles of a triangle sum to 180 degrees.

Angle A + Angle B + Angle C = 180

(5x-25) + (2x+10) + (3x+5) = 180

Combine like terms:

10x -10 = 180

Add 10 to both sides:

10x = 190

Divide both sides by 10:

X = 190/10

X = 19

Now you have a value for x, find the angles:

Angle A = 5x-25 = 5(19)-25 = 95-25 = 70

Angle B = 2x +10 = 2(19) + 10 = 38 +10 = 48

Angle C = 3x +5 = 3(19) +5 = 57 + 5 = 62

70 + 48 + 62 = 180