Eportfolio 2/14/19

Tanisha Pal Singh

13 Feb 2019

1)

We have to find out angle A. We know that if two inscribed angles of a circle intercept the same arc or congruent Arcs, then the angles are congruent. So angle A and D would be equal. Then we will set 6y-2 and 5y+8 equal to eachother and we will find out the value of y. Then to find out measure of angle A, we will put the value of y which would be 10 in the equation 6y-2. That will give us the measure of angle A as 58.

2)

We have to find put angle G. We know that if a quadrilateral is inscribed in a circle, opposite angles are supplementary. So we are going to set up as 8x+1+11x+8=180. We will get the value of x as 9. Then to find out angle G, we will put the value of x as 9 in the equation 8x+1. The measure of angle G would be 73.

3)

We have to find put the value of x. We know that if arcs are congruent then chords are congruent. We will set 6x and 2x+24 equal to eachother and then find out the value of x. So 6x-2x=24. 4x=24. x=6. So value of x is 6.