Determine the value of x in the figure

SammyKush011

6 years ago

The answer is D
X = 180 - (81+53) (opp angles of a cyclic quadrilateral are complementary)
X = 46

regony600

9 years ago

Jamb isn't stupid. This is circle theorem for Christ's sake. so far that triangle is intact, no matter how you vary that 'x', it would still be the same, which is nothing below 90°(that's if you don't go with my calculations )

obedvictor

9 years ago

Lols

obedvictor

9 years ago

Success at last

raph.Montella

10 years ago

I thought the sums of the opposite angles of a quadrilateral are supplementary... I. E sums up to 180

regony600

9 years ago

You don't know what you're doing. Does that look like a triangle? That's a cyclic quadilateral.

For the big triangle : there's one side not given (not x). To find that side ;180-81-53=46

for the quadilateral : opposite sides add up to 180(supplementary angles). To find x; 46+x=180;x=180-46=134

regony600

9 years ago

merely looking at the angle 'x', does it look like something below 90°?

obedvictor

9 years ago

Check well and see

obedvictor

9 years ago

Sometimes, unless a complete set square is used, we can't assume just at d diagram buh only thru our answers.

regony600

9 years ago

Wrong answer

X=81+53=134(A)...supplementary angles

regony600

9 years ago

Even the size of the angle show that only A can possibly be the answer

obedvictor

9 years ago

No,

The sum of angles in a triangle is 180°,so add 81°+ 53°=134°

then,180°-134°=46°

Getting d right value of X,

it's a supplementary angle so,46° is d correct answer.

D is correct

Sensei

2 weeks ago

make sense