Question

Four rays meet at a common endpoint. Find the value of x. Find the measurement of angle CAD, if angle BAC =60, DAE= 90 and angle BAE= 12x, CAD=3x

Answer 1

x = 14

<CAD = 42degrees

Explanation:

Since all the rays meet at a point, the sum of all the angles at the point will be 360 degrees, since angle at a point is 360degrees

Taking the sum of all the angles and equating to 360, we will have;

<BAC + <DAE + <BAE + <CAD = 360

60+90+12x+3x = 360

150 + 15x = 360

15x = 360 - 150

15x = 210

x = 210//15

x = 14

Get <CAD

Since <CAD = 3x

<CAD = 3(14)

<CAD = 42 degrees

Hence the measure of angle CAD is 42degrees