Math Problem Statement

In the given triangle, we are asked to find the measure of angle z. We know that the sum of the angles in any triangle is always 180°. Therefore, we can set up the equation: Angle z + 70° + 60° = 180°. Simplifying this: Angle z = 180° - (70° + 60°) = 50°. So, the measure of angle z is 50°.

Solution

In the given triangle, we are asked to find the measure of angle zz.

We know that the sum of the angles in any triangle is always 180°. Therefore, we can set up the equation:

Angle z+70+60=180\text{Angle } z + 70^\circ + 60^\circ = 180^\circ

Simplifying this:

Angle z=180(70+60)\text{Angle } z = 180^\circ - (70^\circ + 60^\circ) Angle z=180130=50\text{Angle } z = 180^\circ - 130^\circ = 50^\circ

So, the measure of angle zz is 5050^\circ.

Would you like further details or have any questions?

Here are some related questions:

  1. What is the sum of interior angles in any polygon?
  2. Can a triangle have two angles summing more than 180°?
  3. What is an exterior angle in a triangle, and how is it related to the interior angles?
  4. How would the calculation change for an obtuse triangle?
  5. What is the difference between an acute, obtuse, and right triangle?

Tip: Always remember that the sum of the angles in any triangle is exactly 180°. This rule helps in solving many geometric problems.

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangle Angles

Formulas

Sum of Interior Angles in a Triangle: 180°

Theorems

Triangle Angle Sum Theorem

Suitable Grade Level

Grades 6-8