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Angle <QAB is =15° because the opposite angles of an isosceles triangle are equal.
The length of the straight line AB = 80cm
<h3>Calculation of angle of a triangle</h3>
The angle at a point = 360°
Angle AQB= 360 - 210° = 150
But the angle that makes up a triangle= 180°
180-150= 30°
But <QAB = <QBA because triangle AQB is an isosceles triangle.
30/2 = 15°
To calculate the length of the straight line the following is carried out using the sine laws.
a/ sina, = b sinb
a= 8cm, sin a { sin 15)
b= ? , sin B = 150
make b the subject formula;
8/sin15= b/sin 150
b= 8 × sin 150/sin 15
b= 80cm
Learn more about isosceles triangle here:
brainly.com/question/25812711
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Answer:
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Step-by-step explanation:
Let's call the width of the yard x and the length x + 3½. Since we know that perimeter = 2 * (width + length) and that the perimeter must be 26 we can write:
2 * (x + x + 3½) = 26
x + x + 3½ = 13
2x + 3½ = 13
2x = 9½
x = 4