Question

One angle of a right triangle is 34° find the other angles

Answer 1

Answer :-

The angles are right angle are 56°, 34° and 90°.

Step-by-step explanation:

To Find :-

• The angles of right angle.

★ Solution

Given that,

One angle of right-triangle = 34°

The type of triangle = Right angle.

We know,

• One angle of a right angled triangle is 90°

• Sum of all interior angles of ∆ is 180°.

Assumption

Let us assume the other angle of right angle as (a)°

∴ 90° + a° + 34° = 180°

By simplifying,

⇒ 90° + a° + 34° = 180°

⇒ a° + 124° = 180°

⇒ a° = 180° - 124°

⇒ a° = 56°

Hence, The other angle of right angle is 56°.

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V E R I F I C A T I O N :-

• 90 + a + 34 = 180

We have,

L.H.S = 90 + a + 34 ; R.H.S = 180

By simplifying the L.H.S :-

By putting the value of x in L.H.S and simplifying :-

⇒ 90 + a + 34

⇒ 90 + 56 + 34

⇒ 90 + 90

⇒ 180

Now, L.H.S = R.H.S

Hence, Verified!