In triangle ABC, the measure of angle B is 60 more than A. The measure of angle C is eight times the measure of A. If x represents the measure of angle A, set u
Mathematics
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Question
In triangle ABC, the measure of angle B is 60 more than A. The measure of angle C is eight times the measure of A. If x represents the measure of angle A, set up and solve an equation to find the measure of angle A.
2 Answer

1. User Answers Favouredlyf
Answer: the measure of angle A is 12 degrees
Stepbystep explanation:
Let x represent the measure of angle A.
Let y represent the measure of angle B.
Let z represent the measure of angle C.
In triangle ABC, the measure of angle B is 60 more than A. This means that
y = x + 60
The measure of angle C is eight times the measure of A. This means that
z = 8x
Also, the sum of the angles in a triangle is 180 degrees. Therefore
x + y + z = 180          1
Substituting y = x + 60 and z = 8x into equation 1, it becomes
x + x + 60 + 8x = 180
10x + 60 = 180
10x = 180  60 = 120
x = 120/10 = 12

2. User Answers surjithayer10otahza
Answer:
Stepbystep explanation:
measure of A=x
∠C=8x
∠B=x+60
in a triangle sum of angles=180°
x+8x+x+60=180
10x=120
x=12
m∠A=12°