Math Problem Statement

Find the value of y in the triangle where the angles are y, 56°, and 30°.

Solution

To solve for yy, we use the triangle angle sum property:

Sum of angles in a triangle=180\text{Sum of angles in a triangle} = 180^\circ

Given: y+56+30=180y + 56^\circ + 30^\circ = 180^\circ

Simplify: y+86=180y + 86^\circ = 180^\circ

Solve for yy: y=18086=94y = 180^\circ - 86^\circ = 94^\circ

Thus, y=94y = 94^\circ.

Would you like a detailed explanation, or do you have any questions?

Related Questions:

  1. What is the triangle angle sum property and why does it hold true?
  2. How can you verify your answer for yy is correct?
  3. What happens if one of the angles in a triangle is obtuse? How does it affect calculations?
  4. Can you solve for the other angles in a triangle if only one angle is given?
  5. How is the triangle angle sum property useful in solving real-world problems?

Tip:

Always double-check your angle calculations to ensure the sum equals 180180^\circ, which is a fundamental rule for all triangles!

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangle Angle Sum Property

Formulas

Sum of angles in a triangle = 180°

Theorems

Triangle Angle Sum Property

Suitable Grade Level

Grades 6-8