Question

The difference between the size of the two acute angles of a right-angled triangle is 66°. Find the size of these two acute angles in degrees.

Answer 1

Answer:

let the other two angles be x and 90-x

as per question

(90-x) -x =60

30= 2x

x=15

so the angles are

15° and (90-15) = 75°

Answer 2

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GiveN:

• There is a right angled triangle.
• The difference between the two acute angles is 66°

To FinD:

• Size of the acute angles?

Step-wise-Step Explanation:

In a right angled triangle, One of the angle is 90°. According to angle sum property of triangles,

• Sum of all angles of a ∆ is 180°

Then, sum of the rest two angles will be 90°. Given in the Question that there is difference is 66°. Let the angles be x and y.

• x + y = 90°
• x - y = 66°

Adding these equations,

⇒ x + y + x - y = 156°

⇒ 2x = 156°

⇒ x = 78°

Then, y = 90° - 78° = 12°

Hence, the size of the two angles is 78° and 12°.