a b measure of second angle x 2x (7x 10) 180 Step 5: Solve for x. Step 3: Write a verbal model. Step 4: Write a mathematical equation. Step 6: Interpret the results and write the answer in words. x 2x 7x 10 180 10x 10 180 10x 170 x 17 The smallest angle is The other angles are x 17. 2x 21172 34 7x 10 71172 10 129 The angles are , , and . Skill Practice 6. In a triangle, the measure of the first angle is greater than the measure of the second angle.The measure of the third angle is twice that of the second. Find the measures of the angles. Solving a Geometry Application Involving Circumference Example 6 The distance around a circular garden is 188.4 ft. Find the radius to the nearest tenth of a foot. Use 3.14 for p . Solution: Use the formula for the circumference of a circle. Substitute 188.4 for C. C 2pr 188.4 2pr 188.4 2p 2pr 2p 2p. Divide both sides by r 188.4 2p r 188.4 213.142 30.0 r The radius is approximately 30.0 ft. Skill Practice 7. The circumference of a drain pipe is 12.5 cm. Find the radius. Round to the nearest tenth of a centimeter. 80° 17° 34° 129° a 180° measure of t hird angle aMeasure of b b first angle Section 2.6 Formulas and Applications of Geometry 151 Answers 6. The angles are 25°, 50°, and 105° . 7. The radius is 2.0 cm. C 188.4 ft
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