sukhman wrote:
What is the degree measure of angle a?
(1) b + c = 287 degrees (2) d + e = 269 degrees[/img]
To evaluate each statement, test TWO combinations of angle measurements
Be sure to satisfy the following constraints:
Angles that form a straight line must add up to 180.
The interior angles of the triangle must add up to 180.
Statement 1: b+c = 287
Case 1:
Here, a = 107.
Case 2:
Here, a = 107.
Since the value of a is the same in each case, SUFFICIENT.
Statement 2: d+e = 269
Case 3:
Here, a = 119.
Case 4:
Here, a = 109.
Since the value of a is NOT the same in each case, INSUFFICIENT.
The correct answer is
A.
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