Answer:
34 degrees, 68 degrees, 78 degrees
Step-by-step explanation:
All angles in a triangle must add up to 180 degrees.
so
x + 2x + 2x + 10 = 180
(group together all the xs)
5x + 10 = 180
(subtract 10 from both sides)
5x = 170
(divide both sides by 5)
x = 170/5 = 34
Angle 1 = x
x = 34
Angle 1 = 34 degrees
Angle 2 = 2x
x = 34
(multiply both sides by 2)
2x = 68
Angle 2 = 68 degrees
Angle 3 = 2x + 10
x = 34
(multiply both sides by 2)
2x = 68
(add 10 to both sides)
2x + 10 = 68 + 10 = 78
Angle 3 = 78 degrees
CHECK YOUR ANSWERS:
All angles in a triangle must add up to be 180 degrees.
so
34 + 68 + 78 should equal 180
34 + 68 + 78 = 180 degrees
Hope this helps :)
