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Mathematics

Grade9

Easy

Question

Find the measure of the indicated arc in the diagram. m $Error converting from MathML to accessible text.$ =?

160°
180°
120°
360°

hint Hint:

by theorem If a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc.

The correct answer is: 160°

OPTION 1 : $160 to the power of O$ IS THE CORRECT ANSWER
by theorem If a diameter of a circle is perpendicular to a chord, then the diameter bisects the chord and its arc.
so $90 to the power of o minus x to the power of o space equals space 8 x to the power of o 9 x to the power of o space equals space 90 to the power of o x to the power of o space equals space 90 to the power of o over 9 to the power of o space equals space 10 to the power of o s o space A n g l e space D B space equals space 8 X to the power of o space equals space 80 to the power of o b y space t h e space t h e o r m space a n g l e space D B space equals A D space equals space 80 to the power of o$
m $Error converting from MathML to accessible text.$ =m $Error converting from MathML to accessible text.$ + m $Error converting from MathML to accessible text.$
= 80° + 80°
= 160°

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