Question

Find x in the given figure, if it is a regular pentagon.
(a) 110° (b) 108° (c) 105° (d) 100°








Answer:108°​

Answer 1

Answer:

108

Step-by-step explanation:

180(n-2)/n=Measure of one angle in regular polygon

180x3/5

=108

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

Find x in the given figure, if it is a regular pentagon.

(a) 110°

(b) 108°

(c) 105°

(d) 100°

EVALUATION

Here the given figure is a regular pentagon.

Number of sides = 5

Sum of the angles of the pentagon

$\sf = (5 - 2) \times {180}^{ \circ}$

$\sf = 3 \times {180}^{ \circ}$

$\sf = {540}^{ \circ}$

Since it is a regular pentagon

So all angles are equal in measure

Hence the required angle

= x

$\sf = \dfrac{{540}^{ \circ} }{5}$

$\sf = {108}^{ \circ}$

FINAL ANSWER

Hence the correct option is (b) 108°

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