Please help I've lost all hope on these questions.
2 answers:
1)
<CPQ+<CPS=180 degrees.
<CPQ=12x+57, <CPS=8x-7
(12x+57)+(8x-7)=180
20x=130
x=6.5
<CPQ=12×6.5+57=135
Answer: <CPQ=135 degrees.
2)
<JSY=<ACK(vertical angles)
<JSY=4x+5, <ACK=2x+15
4x+5=2x+15
2x=10
x=5
<JSY=4×5+5=25
Answer: <JSY=25 degrees.
Answer:
CPQ = 135
JCY = 25
Step-by-step explanation:
The two angles form a straight line, so the sum of the angles is 180
8x-7 + 12x+57 = 180
Combine like terms
20x +50 = 180
Subtract 50 from each side
20x+50-50 = 180-50
20x = 130
Divide each side by 20
20x/20 = 130/20
x =6.5
We want to find CPQ
CPQ = 12x+57
=12(6.5) +57
=78+57
135
These angles are vertical angles and vertical angles are equal
4x+5 = 2x+15
Subtract 2x from each side
4x-2x+5 = 2x-2x+15
2x+5 = 15
Subtract 5 from each side
2x+5-5 =15-5
2x = 10
Divide each side by 2
2x/2 = 10/2
x =5
We want to find JCY
JCY = 4x+5
= 4(5)+5
=25
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