two acute angles of right angle are equal.Find the two angles.
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The right triangle has one 90 degreeangle and two acute (< 90 degree) angles. Since the sum of the angles of a triangle is always 180 degrees... The two sides of the triangle that are by the right angle are called the legs... and the side opposite of the right angle is called the hypotenuse.
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since it is a right triangle therefore 1 angle is of 90°
other 2 angles which are equal have to be acute
let the measure of each acute equal angle be x
therefore the sum of the two acute equal angles is x+x=2x
sum of angles of a triangle=180°
therefore,2x+90°=180°
=>2x=180°-90°
=>2x=90°
=>x=90°/2
=>x=45°
therefore the measure of the two acute angles of the triangle are each of 45°.
other 2 angles which are equal have to be acute
let the measure of each acute equal angle be x
therefore the sum of the two acute equal angles is x+x=2x
sum of angles of a triangle=180°
therefore,2x+90°=180°
=>2x=180°-90°
=>2x=90°
=>x=90°/2
=>x=45°
therefore the measure of the two acute angles of the triangle are each of 45°.
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