Question

Find m Show work A.117 B.63 C.107 D.73

Answer 1

The sum of all interior angles in a polygon is

180(n - 2), where n = "number of sides in the polygon"

now, this polygon has 5 sides, so is a PENTAgon, so the sum of all its interior angles is 180( 5 - 2), or  540.

we know 4 of them, so the last one, the one next to A, has to be 540 - 104 - 118 - 96 - 115, namely is 107.

now, notice, that angle is next to A, is really sitting on the same exact line angle A is sitting on, so that angle is a linear angle with A.

what the dickens does that mean?  well, linear angles make up 180°, therefore,

107 + A = 180
A = 180 - 107