Mathematics

Grade9

Easy

Question

The measure of each angle of regular decagon is ________.

144°
108°
164°
326°

hint Hint:

$A s space w e space k n o w space t h a t space t h e space s u m space o f space m e a s u r e s space o f space i n t e r i o r space a n g l e s space o f space a space p o l y g o n space h a v i n g space space n space space s i d e s space i s space equals space left parenthesis space n space minus space 2 space right parenthesis space cross times space 180 space space d e g r e e s$

The correct answer is: 144°

$T h e space c o r r e c t space o p t i o n space i s space A space space left parenthesis space 144 to the power of o space right parenthesis space space A s space w e space k n o w space t h a t space t h e space s u m space o f space m e a s u r e s space o f space i n t e r i o r space a n g l e s space o f space a space p o l y g o n space h a v i n g space space n space space s i d e s space i s space equals space left parenthesis space n space minus space 2 space right parenthesis space cross times space 180 space space d e g r e e s space space F o r space d e c a g o n comma space t h e space n u m b e r space o f space s i d e s space space equals space 10 space space S o comma space t h e space s u m space o f space m e a s u r e s space o f space i n t e r i o r space a n g l e s space o f space d e c a g o n space i s space equals space left parenthesis space 10 space minus space 2 space right parenthesis space cross times space 180 to the power of o space space equals space 8 space cross times space 180 to the power of o space space equals space 1440 to the power of o space space T h u s comma space t h e space m e a s u r e space o f space e a c h space i n t e r i o r space a n g l space equals space space fraction numerator s u m space o f space m e a s u r e s space o f space i n t e r i o r space a n g l e s over denominator t o t a l space n u m b e r space o f space s i d e s end fraction m e a s u r e space o f space e a c h space i n t e r i o r space a n g l e space equals space 1440 to the power of o over 10 to the power of o space equals space 144 to the power of o a n s w e r$

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The measure of each angle of regular decagon is ________.

144°108°164°326°

The correct answer is: 144°

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144°
108°
164°
326°

The measure of $angle A$ is _________.

The measure of $angle A$ is _________.

The measure of $angle V$ is _________.

The measure of $angle V$ is _________.