Solve for x: Triangle Angle Sum Theorem

Find the missing angle x in a triangle given two angles using the triangle angle sum theorem.

Answer

The problem asks us to find the value of

given a triangle with two of its angles shown. The angles given are

and

. The third angle is denoted as

We know that the sum of the interior angles of a triangle is always

. Therefore, we can set up an equation with the given angles and the unknown angle

First, add the known angles:

So the equation becomes:

To solve for

, subtract

from both sides of the equation:

Therefore, the value of

The final answer is

Related math solutions

Finding Unknown Angle Measures of Intersecting Lines

Learn how to find the unknown angle measure m∠MHJ created by intersecting lines using vertical and supplementary angle properties.

Dilation of a Polygon on a Coordinate Plane with a Scale Factor

Find the new coordinates of vertices E, F, G, and H after a dilation with a scale factor of 1/3 centered at the origin by multiplying each original coordinate by the scale factor.

Calculate Cube Volume: Edge Lengths 17 yd and 11 ft

Learn how to calculate the volume of a cube by cubing its edge length for given dimensions in yards and feet.

Triangle Congruence Proofs Using SAS and CPCT

Learn how to prove triangle congruence using the SAS criterion and apply CPCT properties with clear, step-by-step geometric solutions.

Transformations: Rotations vs. Translations and Reflections

Explore whether combinations of translations and reflections across axes can replicate a 90-degree clockwise rotation. Understand the fundamental differences in coordinate transformation.

Solve for x: Triangle Angle Sum Theorem

Question

Answer

Related math solutions

Sblocca la versione web per sempre

Related math solutions