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If isosceles right triangle ABC and squa...

If isosceles right triangle ABC and square ACDE share side AC, what is the degree measure of angle EBC ?

A

27

B

30

C

60

D

63

Text Solution

Verified by Experts

The correct Answer is:
A
Call the sides of the square and the legs of the triangle each 1. What you're looking for is the measure of the angle marked `x^(@)` in right triangle BDE :

The leg opposite x is 1, and the leg adjacent to x is 2. so
`tan x = ("opposite")/("adjacent")=(1)/(2)`
x = arctan `(1)/(2)~~27`
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