Find the value of x in the given diagram.

Mathematics
Find the value of x in the given diagram.

ScanSolve AI Answer

Answer

48∘48^\circ

Step 1: Find the measure of ∠C\angle C in △ABC\triangle ABC.

∠A+∠B+∠C=180∘\angle A + \angle B + \angle C = 180^\circ 25∘+87∘+∠C=180∘25^\circ + 87^\circ + \angle C = 180^\circ 112∘+∠C=180∘112^\circ + \angle C = 180^\circ ∠C=180∘−112∘=68∘\angle C = 180^\circ - 112^\circ = 68^\circ

Step 2: The ray from vertex CC divides ∠C\angle C into two angles measuring xx and 20∘20^\circ.

x+20∘=68∘x + 20^\circ = 68^\circ x=68∘−20∘x = 68^\circ - 20^\circ x=48∘x = 48^\circ

48^\circ

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Quick Answer

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^.

Find the value of x in the given diagram.
Mathematics

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 Answer
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^