Ray pk bisects ∠lpm, the measure of ∠lpm is 11x°, and the measure of ∠lpk is (4x + 18)°. what is the measure of ∠kpm?

Step-by-step explanation:

given that:

∠LPM = 11x°

∠LPK = (4x + 18)°

PK bisects ∠LPM,

we know that bisection means to divide an angle in two equal parts.

so when PK bisects ∠LPM, the remaining angles are 11x/2. hence the remaining angles are:

but we have another representation of ∠LPK and that is:

so both of these are equal, and can be written as:

we can solve for the value of x

Now we can find all the angles!

we can also confirm our bisection

and since in bisection the two halves are equal

option 1

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