Answer:
x=10
m<a = 10°
m<b = 90°
m<c = 80°
Step-by-step explanation:
The sum of Complementary angles is 90°
So, the sum of <a and <c is equal to 90.
Equation. ( 2x - 10 ) + ( 4x +40 ) = 90
Solve for x.
2x - 10 + 4x + 40 = 90
6x + 30 = 90
6x = 90 - 30
6x = 60
x = 10
Solve for Angle A. (by substitition)
<a = 2(10)-10
<a = 20-10
<a = 10°
Solve for Angle C. (by substitution)
<c = 4(10) + 40
<c = 40+40
<c = 80°
Angle B is 90°. A straight line is equal to 180°
So
<a + <b + <c = 180
< b = 180 - (10 + 80)
<b = 90°
