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Aleonysh [2.5K]
3 years ago
7

→

Mathematics
1 answer:
aleksley [76]3 years ago
6 0

Answer:

The measure of ∠KPM is 66°

Step-by-step explanation:

we know that

∠LPM=∠LPK+∠KPM

If ray PK bisects ∠LPM

then

∠LPK=∠KPM

and

∠LPM=2[∠LPK] -----> equation A

we have

∠LPM=11x°

∠LPK=(4x+18)°

substitute the values in equation A

11x°=2(4x+18)°

Solve for x

11x=8x+36

11x-8x=36

3x=36

x=12°

<u>Find the measure of angle ∠LPK</u>

∠LPK=(4x+18)°

substitute the value of x

∠LPK=(4(12)+18)=66°

Remember that

∠LPK=∠KPM

therefore

∠KPM=66°

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