Find the value of x in the given figure, where angles are 25°, 20°, x and 87°.

March 22, 2026Mathematics

ScanSolve AI Answer

March 22, 2026

Answer

$48^\circ$

Step 1: The sum of the interior angles of a triangle is $180^\circ$ .

Label the triangle $\triangle ABC$ where $\angle ABC = 25^\circ$ (bottom left) and $\angle ACB = 87^\circ$ (bottom right).

\angle BAC = 180^\circ - 25^\circ - 87^\circ

\angle BAC = 68^\circ

Step 2: A ray from vertex $A$ divides $\angle BAC$ into two angles: $x$ (adjacent to side $AB$ ) and $20^\circ$ (adjacent to side $AC$ ).

x + 20^\circ = 68^\circ

Step 3: Solve for $x$ .

x = 68^\circ - 20^\circ

x = 48^\circ

Final answer: $\boxed{48^\circ}$

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