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Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 month ago

HELP FAST!!!?

What is the measure of ∠x

3 problems AND SHOW WORK..

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2 Answers

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  • 1 month ago

    (6)  This type is easy.  112/2 = 56 degrees.  To remember this rule, think how a triangle with three 60-degree angles will subtend three 120-degree arcs, if the triangle is inscribed snugly in a circle.

    (8)  Construct the radii from the center to each of the four points where the lines intersect the circle.  The central angle in the uppermost triangle is 130 degrees, so the acute angles in that triangle are each (180 - 130)/2 = 25 degrees.  The central angle in the lowermost triangle is 96 degrees (although it's so blurry that I'm not sure it's not 98 degrees).  If it's 96 degrees, then the acute angles in that triangle are each 42 degrees.  The central angle in the rightmost triangle is 41 degrees.  So you have a four-sided figure with three angles of 41, 180-42, 180-25, and x.  The four angles must add up to 360 degrees, so the angle at x is 26 degrees.

    (7) probably requires some tricks like the ones I used in (8), and maybe you'll figure them out...not immediately obvious to me.

  • 1 month ago

    All of these can be answered using the theorems listed in the link below.

    But be fast because you need to figure this out quickly! Don't forget to show your work.

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