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Chapter 12: Q26. (page 690)

Find the value of xin the figure. Then find the unknown angle measures.

Short Answer

Expert verified

The value of x is 6°.

Step by step solution

01

Step 1. Given Information.

The figure is given below.

02

Step 2. Calculation.

Since, a right angle is an angle which is equal to 90°. Therefore,

8x+∘42=∘90° …… (1)

Find x using equation (1).

8x°+42°=90°8x°=90°−42°8x°=48°x=48°8°

This implies that,

x=6°

Thus, the value of x is 6°.

03

Step 3. Conclusion.

The measures of unknown angles are 48and∘42°.

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Most popular questions from this chapter

Use the diagram. For lines mand nto be parallel, what must the value of xbe?

  1. Tell whether the labelled angles are corresponding, alternate interior, or alternate exterior angles.
  2. Write an equation that relates the angles measures.
  3. Solve the equation for x.

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

m∠3=146°m∠4=44°

Find the measures of the numbered angles in the diagram.

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As shown in the diagram, the two structures of the Puerta de Europa (Door of Europe) in Madrid, Spain, lean toward each other at an angle of 15°from the vertical.

  1. In the diagram, ∠1 and the angle that measures 15° are complementary angles. Find m∠1.
  2. Tell whether ∠1and ∠2 arecomplementary or supplementary angles. Then use your answer to part (a) to find m∠2.
See all solutions

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