Complete the sentences
A. All right angles are 90 degrees (by definition)
B. supplemenatry angles form straight line (by definition)
C. If two angles form a linear pair, then the are supplementary (by definition)
D. When two lines intersect, the inverse angles are congruent.
In the given image of two intersecting lines, you have m∠1 = 67°
E. angle 2 and angle 1 are supplementary, then;
m∠2 + m∠1 = 180°
m∠2 = 180° - m∠1
m∠2 = 180° - 67°
m∠2 = 113°
F. angle 3 and angle 1 are congruent, then:
m∠3 = m∠1 = 67°
Due to the given image, you have the following expressions:
2x + x + 60° = 180° supplementary angles
3x + 60° = 180° subtract 60 both sides
3x = 180° - 60°
3x = 120° divide both sides by 3
x = 120/3
x = 40°
Furthermore, for y, you have:
x + y + y + 20° = 180° supplementary angles
x + 2y + 20° = 180° replace x = 40
40 + 2y + 20° = 180°
2y + 60° = 180° subtract 60 both sides
2y = 180° - 60°
2y = 120°
y = 120/2 divide by 2 both sides
y = 60°