Find the value of x in the given diagram.

March 22, 2026Mathematics

ScanSolve AI Answer

March 22, 2026

Answer

$48^\circ$

Step 1: 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

Step 2: 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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Find the measure of C in ABC. A + B + C = 180^ 25^ + 87^ + C = 180^ 112^ + C = 180^ C = 180^ - 112^ = 68^ Step 2: The ray from vertex C divides C into two angles measuring x and 20^.

Asked on March 22, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on March 22, 2026

Step 1: Find the measure of C in ABC. A + B + C = 180^ 25^ + 87^ + C = 180^ 112^ + C = 180^ C = 180^ - 112^ = 68^ Step 2: The ray from vertex C divides C into two angles measuring x and 20^. x + 20^ = 68^ x = 68^ - 20^ x = 48^ 48^