Question

Two angles are in the ration4:5. If the sum of these angles is equal to the third angle, find the angles of the triangle.

Answer 1

Answer:

The angles are 40°, 50° and 90°.

Step-by-step explanation:

Let the two angles of the triangle be 4x and 5x.

Then, as per the question, we know

third angle =4x+5x=9x

We know that sum of all the angles of a triangle is 180°

∴4x+5x+9x=180°

⇒18x=180°

⇒x=10°

....[On dividing both sides by 18]

So, first angle = 4x°

= 4×10°

=40°,

second angle = 5x∘

= 5×10°

=50°

and

and third angle = 9x°

= 9×10°

=90°

Answer 2

SOLUTION:-

Given

• Two angles in ratio 4:5

To find

• Angles of triangle?

Explanation

Let the triangle be ABC

Let

∠A= 4x

∠B= 5x

________________

∠C= ∠A+∠B

∠C= 4x+5x=9x

__________________

Here we use angle sum property

∠A+∠B+∠C= 180°

4x+5x+9x=180

18x=180

x=180/18

x= 10°

_____________________________

Putting value of x in angles

∠A=4x= 4×10=40°

∠B= 5x= 5×10= 50°

∠C= 9x= 9×10=90°

_______________________________

Hence, The angles are⤵️

• ∠A= 40°

• ∠B= 50°

• ∠C= 90°

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