Question

Line k, p, and q intersect at point R. Based on the diagram, what is the value of x?A.) 60B.) 80C.) 40D.) 50

Answer 1

x = 60.

Step-by-step explanation:

Because angles KRP and MXP are formed by the intersection of the line p with parrallel lines k and m, their measures are equal.

`∠KRP=∠MXP`

Moreover, since MXP and x° are vertical angles, their measures are equal.

Now the angles 40°, 60° and KRP are supplementary; therefore,

`40°+\angle KRP+60°=180°`

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