The two adjacent angles of a quadrilateral
are 50° and 130°. The other two adjacent
angles are equal. What is the measure of
each of these equal angles.
Answers
Answer:
The measure of an angle is 50° and 130°.
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Step by step explanation:
two adjacent angles of quadrilateral = 50°, 130°
We know that the sum of two opposite angles of a quadrilateral is 180°
therefore let 50° be angle A, 130° be angle B, the angle opposite to angle A be angle C and the angle opposite to angle angle B be angle D.
Therefore, angle B + angle D = 180°
130° + angle D = 180°
angle D = (180 - 130)°
angle D = 50°
Since, angle D + angle C = 180°
50° + angle C = 180°
angle C = (180 - 50)°
angle C = 130°
The two adjacent angles of a quadrilateral
are 50° and 130°. The other two adjacent
angles are equal. What is the measure of
each of these equal angles.