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Find the value of x in the given diagram.

March 22, 2026Mathematics

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Answer

48^\circ

2 steps

Find the measure of $\angle C$ in $\triangle ABC$ .
$\angle A + \angle B + \angle C = 180^\circ$ $25^\circ + 87^\circ + \angle C = 180^\circ$ $112^\circ + \angle C = 180^\circ$ $\angle C = 180^\circ - 112^\circ = 68^\circ$
The ray from vertex $C$ divides $\angle C$ into two angles measuring $x$ and $20^\circ$ .
$x + 20^\circ = 68^\circ$ $x = 68^\circ - 20^\circ$ $x = 48^\circ$
48^\circ

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