Answer:
(a) 180°
(b) 180°
(c) substitution property
(d) m∠3
(e) ∠3
Step-by-step explanation:
Definition: Two angles are supplementary if they add up to 180°
Proof:
By definition of supplementary angles, m∠1 + m∠2 = 180° (a) {∠1 and ∠2 are supplementary - given}
and m∠2 + m∠3 = 180° (b) {∠2 and ∠3 are supplementary - given}
Then, m∠1 + m∠2 = m∠2 + m∠3 by the substitution property (c)
Subtract m∠2 from each side. You get m∠1 = m∠3 (d)
or ∠1 ≅ ∠3 (e)
Answer:
56 because a triangle is always 90 degrees so 90 minus 22 plus 12 equals 56
Step-by-step explanation:
Set the angles equal because they are vertical angles
150=5m
30=m (divide both sides by 5)
Answer:
A
Step-by-step explanation:
First just simplify the terms.
y * 5 = 5y
y * 55 = 55y
55y + 5y = 60y
Answer: y = -1x + 8
Step-by-step explanation: linear equations must be written in the format
y = mx + b from.
m represents the slope which it -1
b represents the y-intercept which is 8.
Just substitute the slope and y-intercept in the m and b places and that is a linear equation.
