Thank you for visiting On rhombus ABCD diagonals AC and BD intersect at E If the measure of angle AEB is 7x 27 find x. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
The value of x is 9.
In a rhombus, the diagonals bisect each other at right angles. Therefore, angle AEB is a right angle. We know that the sum of the measures of angles in a triangle is 180 degrees.
Given that angle AEB = 7x + 27, and AEB is a right angle, we have:
7x + 27 = 90
Now, we can solve for x:
7x = 90 - 27
7x = 63
x = 63 / 7
x = 9
So, the value of x is 9.
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