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Chapter 12: Q5. (page 688)

∠3 and ∠4 arecomplementary angles, and m∠3=24°. Find m∠4.

Short Answer

Expert verified

The measure of angle m∠4 is 66°.

Step by step solution

01

Step 1. Given Information.

m∠3=24°

02

Step 2. Concept used.

If the sum of two angles is 90° then the angles are called complementary angles and if the sum is 180° then the angles are called supplementary angles.

03

Step 3. Calculation.

Since ∠3 and ∠4 are complementary angles.

m∠3+m∠4=90°24°+m∠4=90°m∠4=90°−24°=66°

04

Step 4. Conclusion.

Therefore, the measure of the angle that is complementary to an angle measuring 24° is 66°.

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Most popular questions from this chapter

Tell whether the angles are complementary, supplementary, or neither.

m∠5=37°m∠6=53°

Tell whether the angles are corresponding, alternate, interior, or alternate exterior angles.

∠4and∠5

Use a compass and a straightedge to draw a segment whose length is the sum of the lengths of the given segments.

The diagram shown is a side view of a chair designed in the 1930s. In the diagram, m∠1=95°and m∠3=45°. Tell whether the statement is true or false. Explain your reasoning.

  1. ∠2 and ∠3are corresponding angles.
  2. ∠2 and ∠3 have equal measures.
  3. ∠2 and ∠3are complementary angles.
  4. The sum of the measures of ∠1,∠2and ∠3is 180°.

Tell whether the angles are complementary, supplementary, or neither.

m∠1=140°m∠2=40°
See all solutions

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