X+y = -15 in y = mx+b form
1 answer:
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Answer:
Step-by-step explanation:
1. Regroup terms.
2. Add 1 to both sides.
3. Simplify 3x + 3 + 1 to 3x + 4.
4. Subtrect 3x from both sides.
5. Simplify 4x - 3x to x.
Therefor, the answer is, x = 4.
By angle addition postulate,
m(∠ABD) + m(∠DBC) = m(∠ABC)
Now substitute the values of each angle,
(5x + 5)° + (3x + 12)° = 153°
Combine like terms of the expression,
(5x + 3x) + (5 + 12) = 153
8x + 17 = 153
8x = 153 - 17
x =
x = 17
Substitute the value of 'x' to get the measure of each angle,
m(∠ABD) = (5x + 5)
= 5(17) + 5
= 90°
m(∠DBC) = (3x + 12)
= 3(17) + 12
= 63°
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