Question

What is the measure of angle A?

Answer 1

`angleA=135^@`

Explanation:

`ABCD" is a "color(blue)"cyclic quadrilateral"`

`"as all it's vertices lie on the circumference of the circle"`

`• " the opposite angles sum to "180^@`

`rArrangleA+angleC=180^@`

`rArr3x+6+x+2=180`

`rArr4x+8=180`

`"subtract 8 from both sides"`

`rArr4x=180-8=172`

`"divide both sides by 4"`

`rArrx=172/4=43`

`rArrangleA=(3xx43)+6=129+6=135^@`