Question

In a quadrilateral, the measure of two opposite angles is the same. Each of the other

two angles measures exactly two times the given angle. Find the measure of each angle
in the quadrilateral.

Answer 1

the two opposite angles equal 45 and the other two who are twice the amount is 90

Explanation:

sum of angles in a quadrilateral is 360. Lets name the two equal diagonal angles x that means the equation wil be

x+x+2x+2x=360

8x=360

x=45

so the equal diagonal ones will be 45 and the other two angles will be twice as much so 45x2=90