Answer:
(a) x=50
Step-by-step explanation:
The interior angles of this triangle are: 65°, 35°, and [2(x-10)]°
The sum of the interior angles of any triangle must be equal to 180°, then in this triangle:
65°+35°+[2(x-10)]°=180°
We have only one unkown "x". Solving for x: Adding the constants on the left side of the equation:
100°+[2(x-10)]°=180°
Subtracting 100° both sides of the equation:
100°+[2(x-10)]°-100°=180°-100°
Subtracting:
[2(x-10)]°=80°
2(x-10)=80
Dividing both sides of the equation by 2:
2(x-10)/2=80/2
Dividing:
x-10=40
Adding 10 both sides of the equation:
x-10+10=40+10
Adding:
x=50
