∠A = 24°
∠B = 87°
∠A = 24°
Explanation:
The sum of angles in a triangle is 180 degrees
let measure of angle A = ∠A
∠B = 15 more than three times the measure of angle A
∠B = 15 + 3∠A
∠C = 45° more than the measure of angle A
∠C = 45° + ∠A
∠A + ∠B + ∠C = 180° (sum of angles in a triangle)
∠A + 15 + 3∠A + 45° + ∠A = 180
collect like terms:
∠A + 3∠A + ∠A + 15 + 45 = 180
5∠A + 60 = 180
5∠A = 180 -60
5∠A = 120
∠A = 120/5
∠A = 24°
∠B = 15 + 3∠A = 15 + 3(24)
∠B = 87°
∠C = 45° + ∠A = 45° + 24°
∠C = 69°
Answer:
x=-3
Step-by-step explanation:
2x+7=4+x
2x-x+7=4
x+7=4
x=4-7
x=-3
2/3x = 46
2x = 46x3
2x= 138
x=138/2
x= 69
Answer:
12 years
Step-by-step explanation:
T + 5 = A
Therefore T =A - 5
In three years T = 3+ (A-5)
thus T = A - 2
Also in three years T = 2/3 (A+3)
Equating the two
A -2 = 2/3 (A+3)
3A - 6 = 2A + 6
3A - 2A = 6 + 6
Therefore A = 12
