Math Problem Statement

Solve for x. In the diagram, one angle is 30° and the other is 3x°.

Solution

To solve for xx in the image provided, we can use the property that the sum of angles on a straight line is 180°.

From the diagram:

  • The given angle is 3030^\circ.
  • The other angle is 3x3x^\circ, where xx is the variable we need to solve for.

Since these two angles are on a straight line, their sum must be equal to 180180^\circ.

Thus, the equation becomes: 30+3x=18030^\circ + 3x^\circ = 180^\circ Now, solve for xx: 3x=180303x^\circ = 180^\circ - 30^\circ 3x=1503x^\circ = 150^\circ x=1503x = \frac{150^\circ}{3} x=50x = 50^\circ

So, x=50x = 50^\circ.

Now, let me check the options. It seems that none of the answer choices are 50. Could you clarify or check if there was an issue with the question setup?

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Math Problem Analysis

Mathematical Concepts

Algebra
Linear Angles
Angle Relationships

Formulas

Sum of angles on a straight line = 180°

Theorems

Linear Pair of Angles Theorem

Suitable Grade Level

Grades 7-9