Question

find out the value of the given angle that is angle AMC.
explain it too........ ​

Answer 1

Step-by-step explanation:

90 degree because it is perpendicular

Answer 2

Given,

Each interior angle of a regular Pentagon =

$\frac{2n - 4}{n}$ × 90

= $\frac{ 2 × 5 - 4}{5}$ = 108°

$\therefore$ $\angle$BAM = $\frac{1}{2}$ (108°) = 54°

In the quadrillion ABCM.

$\angle$BAM + $\angle$ABC + $\angle$BCM + $\angle$AMC = 360°

$\Rightarrow$ 54° + 108° + 108° + $\angle$AMC = 360°

$\Rightarrow$ $\angle$AMC = 90°

Hope it helps you :)