Alex is making an isosceles triangle-shaped pennant to support her school’s athletic team on sports day as shown below. Side ac
is the same length as side an . Alex rotates the pennant 90 degrees clockwise to stick it to the wooden pole
1 answer:
Answer:
104°
Step-by-step explanation:
The marked angles have the same measure, so ...
(4x +10) = (7x -11)
21 = 3x . . . . . . . . . . . add 11-4x
7 = x . . . . . . . . . . . . . divide by 3
Then angle C is ...
C = (4x +10)° = (4(7) +10)° = 38°
The measure of angle A is 180° -2(38°) = 104°.
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That angle will have the same measure whether the pennant is rotated or not.
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