Question

PLEASE HELP ASAP Find the value of x. Then, find the measure of each angle.

Answer 1

X = 20°
m∠H = 58°
m∠I = 71°
m∠J = 51°


Explanation:

The sum of the angles in a triangle is 180°.

(3x-2) + (4x-9) + (3x-9) = 180°

3x - 2 + 4x - 9 + 3x - 9 = 180°

10x - 20 = 180°

10x = 180° + 20°

x = 200°/10

x = 20°


m∠H:
= 3x - 2
= 3(20°) - 2
= 58°

m∠I:
= 4x - 9
= 4(20°) - 9
= 71°

m∠J:
= 3x - 9
= 3(20°) - 9
= 51°

Answer 2

Answer:

x = 16°

H = 46°

I = 55°

J = 39°

Step-by-step explanation:

Since the whole figure is 180°

Deduct 180 by the numbers mentioned above in order to find x.

180 - 2 - 9 - 9 = 160

3x + 4x + 3x = 10x

10 x = 160

x = 160 ÷ 10 = 16

Since we know what x is, we can find all the angles in the figure.

Angle at H = 3 x 16 - 2 = 46°

Angle at I = 4 x 16 - 9 = 55°

Angle at J = 3 x 16 - 9 = 39°