Question

one of the acute angle of a triangle is 35°. Find the measure of the other acute angle of a triangle​

Answer 1

Diagram :-

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Answer:

• First angle is 35° and second angle is 55°

Step-by-step explanation:

Let the first acute be x and second angle be x + 20

• ∠A = x
• ∠B = 90°
• ∠C = x + 20

★ According to Question now,

→ ∠A + ∠B + ∠C = 180° [Sum of all angles of traingle is 180°]

→ x + 90 + x + 20 = 180°

→ 2x + 110 = 180

→ 2x = 180 - 110

→ 2x = 70

→ x = 70/2

→ x = 35°

Hence,

• ∠A = x = 35°
• ∠C = x + 20 = 35 + 20 = 55°

Therefore,First angle is 35° and second angle is 55°.

Answer 2

Solution

Given,

• one of the acute angle of a triangle is 35 degree .

To find ,

• we have to find the measure of the Other acute angle of the triangle .

So,

let the measure of the other acute angle of a right Triangle "X" degree .

• we know that the sum of all angles of a triangle is 180 degree .
• And the value of right angle triangle is 90 degree .

Now,

=> x ° + 35°+90° = 180°

=> x° + 125° = 180°

=> x = 180°-125°

=> x = 55°

The measure of the Other acute angle of the triangle is 55 ° .