So my teacher gave me a quiz without explaining how to do it, and actually I have a whole *unit* to do so I need help please asap really bad with allot of questions

Thank you so much I really appreciate it

VixenGrace
Mar 6, 2018

#1**+1 **

First one :

DHG is an inscribed angle...it measures 1/2 of minor arc DG....so arc DG = 2 * 55 = 110°

Second one :

arc BAC = 360 - 290 = 70°

Third one : The inscribed angle is !/2 the intercepted arc ....so...

(3x -1.5) = (1/2) (3x + 9) multiply both sides by 2

2(3x - 1.5) = 3x + 9 simplify

6x - 3 = 3x + 9 add 3 to both sides....subtract 3x from both sides

3x = 12 divide both sides by 3

x = 4

So arc AC = 3(4) + 9 = 21°

Fourth one :

A little tricky.....the angle that has both sides terminating at the diameter ends = 90°

Three angles of a triangle sum to 180°

So

68 + 90 + x = 180

158 + x = 180 subtract 158 from bth sides

x = 22°

Hope that helps !!

CPhill
Mar 6, 2018