Quadrilateral ABCD is inscribed in this circle. What is the measure of angle B? Enter your answer in the box. m∠B= ° A quadrilateral inscribed in a circle. The vertices of quadrilateral lie on the edge of the circle and are labeled as A, B, C, D. The interior angle B is labeled as left parenthesis 6 x plus 19 right parenthesis degrees. The angle D is labeled as x degrees.
Answers
Answer:
It is 157 degree
Step-by-step explanation:
In a cyclic quadrilateral opposite angles add up and form equal to 180 degree.
In quadrilateral suppose one angle is x and another is 6x+19. By solving this equations, we get the value of x equal to 23. And at last by putting value of x we will get the exact angle.
Answer:
Step-by-step explanation:
Given data:
Quadrilateral ABCD which is inscribed in a circle
angle D = X⁰
angle B = 6X⁰ + 19⁰
we need to find angle angle
Now what is the meaning of inscribed and one more term circumscribed
when A geometric figure is present inside a circle such that its vertices touches the circle = Inscribe
Required concept to solve this question :
sum of opposite angles of a quadrilateral inscribed in a circle is always =180⁰
now while drawing figure keep this in mind that sequence A,B,C,D should be followed either clock wise or anti clock wise.
you will notice that angle B is just opposite of angle D therefore,
angle B + angle D = 180⁰ (theorem)
(6X + 19) + X = 180
7X = 180-19 = 161
X = 23⁰
therefore angle B = 6*23+19 = 157⁰ ANS
