Question

Quadrilateral BCDE is inscribed in circle A. The measure of ⏜ is 73°. The measure of ⏜ is 53° and the measure of ⏜ is 102°.

Answer 1

Answer:

117

Step-by-step explanation:

Angle BCD intercepted arc is Arc DEB.

We know DE measure but we need to find EB measure.

Since a circle circumference add up to 360, we can add all of the known arcs up to 360 to find the missing arc.

$73 + 53 + 102 + x = 360$

$126 + 102 + x = 360$

$228 + x = 360$

$x = 132$

So arc EB measure 132.

Arc eb and de.

132+102=234.

Angle BCD is inscribed angle of Arc DEB, so that means angle BCD is half of Arc DEB.

$\frac{234}{2} = 117$