Undersantding Quadrilateral. the two adjacent angles of a quadrilateral are 58¡ã and 122¡ã. The other two adjacent angales are equal what is measure of each of these equal angles
Since 122+58 = 180, and the 4 angles sum to 360, then if the remaining two angles are equal, the must be 90 and 90, right?
To find the measure of each of the equal angles in a quadrilateral, we need to use the fact that the sum of interior angles in a quadrilateral is always equal to 360 degrees.
Let's break down the problem step by step:
Step 1: Start by finding the sum of the two adjacent angles that are given. Add the measures of the two adjacent angles:
58° + 122° = 180°
Step 2: Subtract this sum from 360 degrees to find the remaining angle measure:
360° - 180° = 180°
Step 3: Since the other two adjacent angles are equal in measure, divide the remaining angle measure by 2:
180° / 2 = 90°
Therefore, each of the equal angles in the quadrilateral measures 90 degrees.