Two angles of a quadrilateral are of measures 50 degree, and the other two angles are equal. What is the measure of each of these two angles?
nikhil417196:
155 degree each
Answers
Answered by
30
Let the angles of quadrilateral be
A, B, C & D
Let measure of angle A and B = 50°
And angle C = angle D
In a quadrilateral, sum of all 4 Angles = 360°
• A + B + C + D = 360°
• 50° + 50° + 2(angle C) = 360°
• 2(angle C) = 360° - 100°
• 2(angle C) = 260°
• angle C = 260/2
• angle C = 130°
Therefore,, angle C = angle D = 130°
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Answered by
38
Answer:
The measure of equal angles is 130°.
Step-by-step explanation:
Given:- Two angel = 50° and two angel are equal.
We know that the sum of all angles of quadrilateral is 360°.
Let other two angels are x.
so,
x + x + 50° + 50° = 360°
2x + 100° = 360°
2x = 360° - 100°
2x = 260°
x = 260/2
x = 130°
so, the measure of equal angles is 130°.
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