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

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

ScanSolve AI Answer

Answer

x=40∘X=120∘x = 40^\circ X = 120^\circ

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

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

Step 2: Combine like terms.

20∘+4x=180∘20^\circ + 4x = 180^\circ

Subtract 20∘20^\circ from both sides.

4x=160∘4x = 160^\circ

Divide both sides by 4.

x=40∘x = 40^\circ

Step 3: Angle XX is labeled 3x3x.

Substitute x=40∘x = 40^\circ.

X=3×40∘=120∘X = 3 \times 40^\circ = 120^\circ

Final answers: x=40∘x = 40^\circ and X=120∘X = 120^\circ.

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

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

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