Answer:
Option (D)
Step-by-step explanation:
Given quadrilateral in the circle is a cyclic quadrilateral.
By using the property of cyclic quadrilateral,
"Sum of each pair of opposite angles is 180°".
In the given cyclic quadrilateral,
d + 57° = 180°
d = 180 - 57
d = 123°
Similarly, c + 31° = 180°
c = 180° - 31°
c = 149°
Therefore, Option (D) will be the answer.
Answer:
Angle 3 is 49 degrees
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Explanation:
Angle 1 is 50 degrees and angle 2 is 48 degrees. Added up, they total to 98 degrees. This is angle DEF.
Angle DEF is congruent to angle ABC because they are alternate exterior angles and because lines m and n are parallel
We are told that angle ABC is bisected (aka cut in half) because of line s; which means that the angles labeled "4" and "5" are exactly half that of angle ABC = 98 degrees
Therefore, angle 4 is 98/2 = 49 degrees and so is angle 3 (due to angles 3 and 4 being vertical angles; angle 3 = angle 4)
Answer:
33/36
Step-by-step explanation:
