If the measure of angle GEF is thirteen less than five times measure of angle DEG and measure of of DEF = 149 degrees, find meas
ure of angle GEF
1 answer:
Answer:
122 degrees
Step-by-step explanation:
Find the diagram attached. From the diagram;
<DEG + <GEF = <DEF
If the measure of angle GEF is thirteen less than five times measure of angle DEG, this is expressed as;
<GEF = 5<DEG - 13
Substitute
<DEG + <GEF = <DEF
<DEG + 5DEG - 13 = <DEF
6<DEG - 13 = <DEF
6<DEG - 13 = 149
6<DEG = 149 + 13
6<DEG = 162
<DEG = 27
Since <GEF = 5<DEG - 13
<GEF = 5(27) - 13
<GEF = 135-13
<GEF = 122 degrees
Hence the measure of angle GEF is 122degrees
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