Math Problem Statement

m∠Q+m∠P=90°

Solution

The expression mQ+mP=90m\angle Q + m\angle P = 90^\circ means that the measures of angles Q\angle Q and P\angle P add up to 90°. Therefore, these two angles are complementary angles.

Complementary angles are two angles whose measures sum to 9090^\circ.

Would you like to know more about complementary angles or how this property can be applied in different geometric problems?

Here are five related questions to explore this concept further:

  1. If mQ=60m\angle Q = 60^\circ, what is mPm\angle P?
  2. Can two obtuse angles be complementary?
  3. How are complementary angles used in right triangles?
  4. If Q\angle Q is twice the size of P\angle P, what are the measures of both angles?
  5. Can complementary angles be adjacent?

Tip: In a right triangle, the two non-right angles are always complementary.

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Math Problem Analysis

Mathematical Concepts

Geometry
Angle Relationships
Complementary Angles

Formulas

m∠Q + m∠P = 90°

Theorems

Complementary Angle Theorem

Suitable Grade Level

Grades 6-8