If RP bisects SRQ. P S R, then the measure of m<SRQ is 130degrees
A line that bisects an angle divides the angles into two equal parts
If RP bisects SRQ from the diagram shown, then;
- m<SRP = m<PRQ
- m<SRP + <PRQ = m<SRQ
Given the following:
m SRP =5x - 10 and m-QRP =3x + 20
5x - 10 = 3x + 20
5x - 3x = 20 + 10
2x = 30
x = 30/2
x = 15
Get the measure of SRQ
m<SRQ = 5x - 10 + 3x + 20
m<SRQ = 8x + 10
m<SRQ = 8(15) + 10
m<SRQ = 120 + 10
m<SRQ = = 130degrees
Hence the measure of m<SRQ is 130degrees
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