Question

18. The two angles of a triangle are in the ratio of 2 : 3. The sum of these angles are equal to the
third angle. Find the angles of the triangle.
10​

Answer 1

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

Answer:

The measure of thre angles are - 36, 54, 90.

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Step-by-step explanation:

Let us take the two angles of triangle as 2x and 3x.

As per question the measure of third angle is equal to the sum of first and second angle.

2x + 3x =5x

Angle sum property

180 = 2x + 3x +5x

180 = 10x

180/10 = x

18 =x

1st anglr = 2x

=2(18)

=36

2nd angle = 3x

=3(54)

=54

3rd angle = 5x

= 5(18)

=90