It is 91 degrees
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The measure of an acute angle is between 0 and 90 degrees (more than 0, less than 90).The measure of an acute angle is between 0 and 90 degrees (more than 0, less than 90).The measure of an acute angle is between 0 and 90 degrees (more than 0, less than 90).The measure of an acute angle is between 0 and 90 degrees (more than 0, less than 90).
4 sides requires Total interior angles of 360 degrees 360-90-90-91= 89
This can be solved using the cosine rule to find the length of side EF, and the sine rule to find angle E The cosine rule is: a² = b² + c² - 2bc cos A we have: A = G = 132° a = EF b = EG = 77 inches c = FG = 89 inches (the assignment of b and c doesn't matter as they are the two sides of the angle A and are interchangeable for the cosine rule), giving: EF² = 77² + 89² - 2×77×89×cos 132° → EF = √(77² + 89² - 2×77×89×cos 132°) The sine rule is: (sin A)/a = (sin B)/b = (sin C)/C we have: A = G = 132° a = EF = √(77² + 89² - 2×77×89×cos 132°) inches (found above) C = E c = FG = 89 inches → (sin 132°)/√(77² + 89² - 2×77×89×cos 132°) in = (sin E)/89 in → sin E = (89 sin 132°)/√(77² + 89² - 2×77×89×cos 132°) → E = arc sin((89 sin 132°)/√(77² + 89² - 2×77×89×cos 132°)) → E ≈ 25.8° → E ≈ 26° to the nearest degree
89.00
Go 89 units of distance in any fixed direction. Turn 90 degrees and go 89 units of distance. Turn 90 degrees in the same "wise" (clockwise or anticlockwise as before) and go 89 units of distance. Turn 90 degrees in the same "wise" (clock or anticlock) and go 89 units of distance.You will have returned to your starting point and you will have travelled along a square route whose distance was 356 units of length.