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Write an equation for the sum of the angles in this triangle. Use your equation to find the value of x.

March 16, 2026Mathematics

ScanSolve AI Answer

Answer

x = 40^\circ X = 120^\circ

3 steps

The sum of the interior angles in a triangle is $180^\circ$ .
$20^\circ + x + 3x = 180^\circ$
Combine like terms.
$20^\circ + 4x = 180^\circ$
Subtract $20^\circ$ from both sides.
$4x = 160^\circ$
Divide both sides by 4.
$x = 40^\circ$
Angle $X$ is labeled $3x$ .
Substitute $x = 40^\circ$ .
$X = 3 \times 40^\circ = 120^\circ$
Final answers: $x = 40^\circ$ and $X = 120^\circ$ .

x = 40^\circ
X = 120^\circ

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