Question
Asked Dec 3, 2019
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9.1.57
Find the measure of angle x to make a hole-in-one at the miniature golf course hole to the
right. Use the following two facts to find x.
1) The angle the ball makes as it hits a flat surface has the same measure as the angle the
ball makes as it leaves the surface.
2) The sum of the measures of the interior (inside) angles of a triangle totals 180°.
52°
(Type an integer or a decimal.)
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9.1.57 Find the measure of angle x to make a hole-in-one at the miniature golf course hole to the right. Use the following two facts to find x. 1) The angle the ball makes as it hits a flat surface has the same measure as the angle the ball makes as it leaves the surface. 2) The sum of the measures of the interior (inside) angles of a triangle totals 180°. 52° (Type an integer or a decimal.) Enter your answer in the answer box and then click Check Answer. All parts showing Clear All

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Expert Answer

Step 1

Given:

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Step 2

Calculation:

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Let we have to name the path of the ball be PQRST and the ground surface be ABCDEF as follows В с b т S 520 D Е P F

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Step 3
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Let the angle ZBQR = u Now, using the angle sum property of a right angled triangle, we get a+90+u180..(1), (sum of the angles of right angled triangle is equal to 180°) Using the fact that alternate interior angles are same, a=520

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