In trapezoid ABCD with bases AB and DC , diagonals intersect at point O. Find the length of diagonal BD , if BO=6 cm and: AO/OC
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Answer:
An equation is 92 + 2x = 180.
The congruent angles each measure 44°.
Step-by-step explanation:
1. If two angles in a triangle are congruent and unknown, we can represent that as 2x. That means 92 + 2x = 180.
2. To find the measure of each congruent angle, x, we have to solve the equation above.
Step 1: Simplify both sides of the equation.
Step 2: Subtract 92 from both sides.
Step 3: Divide both sides by 2.
x = 44 means that the congruent angles each measure 44°.