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

March 16, 2026

Answer

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

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

20^\circ + x + 3x = 180^\circ

Step 2: 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

Step 3: 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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Quick Answer

The sum of the interior angles in a triangle is 180^. 20^ + x + 3x = 180^ Step 2: Combine like terms.

Asked on March 16, 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 16, 2026

Step 1: The sum of the interior angles in a triangle is 180^. 20^ + x + 3x = 180^ Step 2: Combine like terms. 20^ + 4x = 180^ Subtract 20^ from both sides. 4x = 160^ Divide both sides by 4. x = 40^ Step 3: Angle X is labeled 3x. Substitute x = 40^. X = 3 × 40^ = 120^ Final answers: x = 40^ and X = 120^. x = 40^ X = 120^