Question

Find the measure of the angle indicated. PLSASE HELP !!!!

Answer 1

15. <SRJ+<SRT=180 (BEING IN A STRAIGHT LINE)

140+<SRT=180

<SRT=40

NOW

<SRT+<STR+<RST=180

40+8X+4+3X+4=180

11X=132

X=12

SUBSTITUTING THE VALUE OF X IN <RST

3*12+4=40

HENCE,<S=40 DEGREE

SIMILARLY,

16.

<H=38 DEGREE

Answer 2

Explanation:

3x + 4 + 8x + 4 = 140 degree (sum of two interior opposite angle is equal to the exterior angle formed)

11x + 8 = 140

x = 140 - 8

x = 132 /11

x = 12

angle S = 3x + 4

=3*12 + 4

=36 + 4

=40 degree

89 + 5x - 7 = 14x + 1

82 + 5x = 14x + 1

82 - 1 = 14x - 5x

81 = 9x

81/9 = x

9 = x

angle H = 5x - 7

=5*9 - 7

=45 - 7

=38 degree