Math Problem Statement

Ethan was given a triangle with the following measurements: ∠A = 72° and ∠B = 55°.

What is the measurement of ∠C? A.33° B.55° C.45° D.53°

Solution

In any triangle, the sum of all three interior angles is always 180180^\circ.

Given that:

  • A=72\angle A = 72^\circ
  • B=55\angle B = 55^\circ

We can calculate C\angle C as follows:

C=180AB\angle C = 180^\circ - \angle A - \angle B C=1807255=53\angle C = 180^\circ - 72^\circ - 55^\circ = 53^\circ

Thus, the measurement of C\angle C is 5353^\circ.

The correct answer is D. 53°.

Would you like more details or have any questions?

Here are some related questions you might find helpful:

  1. How do you find the third angle of a triangle?
  2. What are the properties of the angles in a triangle?
  3. Can a triangle have two angles greater than 90 degrees?
  4. How do you classify triangles based on their angles?
  5. What is the difference between an obtuse and an acute triangle?

Tip: Always remember, the sum of the interior angles of a triangle is 180°.

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangles
Angle Sum Property

Formulas

Sum of interior angles in a triangle: ∠A + ∠B + ∠C = 180°

Theorems

Angle Sum Theorem of a Triangle

Suitable Grade Level

Grades 6-8