Solve for x in the given geometric diagram, where angles are marked as 75°, 65°, 70°, and x°.

March 20, 2026Mathematics

ScanSolve AI Answer

March 20, 2026

Answer

$55^\circ$

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

60^\circ + 65^\circ + x^\circ = 180^\circ

Step 2: Add the known angles.

65^\circ = 60^\circ + 5^\circ

60^\circ + 65^\circ = 125^\circ

Step 3: Substitute the sum into the equation.

125^\circ + x^\circ = 180^\circ

Step 4: Subtract $125^\circ$ from both sides.

x^\circ = 180^\circ - 125^\circ

x^\circ = 55^\circ

Final answer: $\boxed{55^\circ}$

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