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Name two pairs of complementary angles. Name two pairs of supplementary angles. Find the missing angle in each set of complementary angles.

Mathematics

ScanSolve AI Answer

Answer

13

20∘\text{}20^\circ\text{}

Step-by-step solution

2 steps

Here are the answers to the questions based on the image provided:

Step 1: Define the types of angles.

  • An acute angle measures less than 90∘90^\circ.
  • A right angle measures exactly 90∘90^\circ.
  • A straight angle measures exactly 180∘180^\circ.
  • Complementary angles are two angles whose sum is 90∘90^\circ.

Step 2: Classify the angle in question 12.

Part 12· 1 step

shows a straight line with arrows, which represents a straight angle.

A straight angle measures 180∘180^\circ. It is neither acute nor right. 12. The angle shown is a straight angle. It is not acute or right.

  1. Classify the angle in question 13.

Part 13

20∘\text{}20^\circ\text{}

shows an angle that is visually less than 90∘90^\circ.

  1. The angle shown is an acute angle.

  1. Calculate the missing angle in question 21.

    The problem states that the angles are complementary. This means their sum is 90∘90^\circ.
    Given angles are 70∘70^\circ and x∘x^\circ.

    70∘+x∘=90∘70^\circ + x^\circ = 90^\circ x∘=90∘−70∘x^\circ = 90^\circ - 70^\circ x∘=20∘x^\circ = 20^\circ
    1. The missing angle is 20∘\boxed{\text{}20^\circ\text{}}
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