Find the measure of the indicated angle.
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I need to show work.

64°

Step-by-step explanation:

∠RQP = 46°

∠PRQ = 180° - 110° = 70°

∠PRQ + ∠RQP + ∠RPQ = 180°

70° + 46 + ∠RPQ = 180°

116° + ∠RPQ = 180°

Find ∠RPQ

∠RPQ = 180° - 116° = 64°

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

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step-by-step explanation: