PLEASE HELP ASAP
Find the value of x. Then, find the measure of each angle.
2 answers:
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:
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°
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