Math Problem Statement

find the missing angle

Find the missing angle in the given diagram where one angle is 43° and another is 90°.

Solution

To find the missing angle in the given image, we start by noting that the problem shows a right angle (which is 90°) and an additional angle of 43°.

In any right triangle, the sum of the three angles is always 180°.

Given:

  • One angle is 90° (the right angle).
  • Another angle is 43°.

The missing angle θ\theta can be calculated as:

θ=1809043\theta = 180^\circ - 90^\circ - 43^\circ

θ=47\theta = 47^\circ

So, the missing angle is 47°.

Would you like more details or have any other questions?

Here are some related questions to explore:

  1. How do you calculate the angles of an obtuse triangle?
  2. What is the relationship between angles in parallel lines and a transversal?
  3. How do you determine the interior angles of a polygon?
  4. What is the sum of the angles in a quadrilateral?
  5. Can you explain the concept of complementary and supplementary angles?

Tip: Remember that in any triangle, the sum of the interior angles is always 180°. This rule helps solve many geometric problems quickly!

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Math Problem Analysis

Mathematical Concepts

Geometry
Angle Sum Property
Right Triangle

Formulas

Sum of interior angles of a triangle = 180°

Theorems

Triangle Angle Sum Theorem

Suitable Grade Level

Grades 6-8