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Question

Two angles of a quadrilateral are of measure 65 and the other two angles are equal. What is the measure of each of these two angles?


Solution

Measures of two angles each = 65
Sum of these two angles =2×65=130
But sum of four angles of a quadrilateral =360
Sum of the remaining two angles =360130=230
But these are equal to each other Measure of each angle =2302=115


Mathematics
RD Sharma
Standard VIII

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