Answer:
half
Step-by-step explanation:
Observe the figure below.
Statement Reason
1. AC and BD bisect each other Given
2. AE = EC and BE = ED Definition of bisection
3.
Vertical angle theorem
Vertical angle theorem states " When two lines intersect each other, the vertically opposite angles are always equal".
4.
SAS criterion for congruence
5.
Corresponding angles of congruent triangles are congruent
6.
Converse of alternate interior angle theorem
7.
Vertical angle theorem
8.
SAS criterion for congruence
9.
Converse of alternate interior angle theorem
As,
, so
as corresponding parts of corresponding triangles are equal. As these angles are alternate interior angles, so the lines BC and AD are parallel by "Converse of alternate interior angle theorem".
EXPLANATION
Applying the Angles in Circles Theorem we can assevere that the measure of the unknown angles is given by the difference between 360 (By the Sum of Interior Angles of a Quadrilateral Theorem) and the angle 114 with both right angles.
? = 360 -114 - 90 - 90
? = 66 degrees
The answer is 66 degrees
Answer:
5/16 Got a C
Step-by-step explanation:
A = 1/4 x 32
B = (32 - A)/2
D = 2
A = 8
B = (32 - 8)/2
B = 24/2
B = 12
D = 2
8 + 12 + 2 = 22
22/32 did not get a C
32/32 - 22/32 = 10/32
10/32 - > 5/16