Question

In the given figure, triangle ABC and triangle XYZ are shown. If AB=3.8cm, AC=3root 3cm, BC=6cm, XY=6root3, XZ=7.6cm and YZ=12cm and angle A=65°, angle B =70°, then value of angle Y is???? ​

Answer 1

Answer:

here is ur answer

abc  is similar pqr

hence

angle x =65

angle y = 70

we know that sum of interior angles = 180 in triangle

=x + y + z=180

=65 + 70 +z =180

=135 + Z= 180

=z=45

hence value of z and y are 45 and 70  degree

hope it was helpful thank you mark me as brain list

Step-by-step explanation:

Answer 2

The value of ∠Y is 45°.

Given:

AB=3.8cm

AC=3√3cm

BC=6cm

XY=6√3

XZ=7.6cm  

YZ=12cm

∠ A=65°

∠ B =70°

To find:

The value of ∠Y.

Solution:

• Triangle is a polygon which is made up of three line segments and have three angles and vertices.

Let us take the ratio of AB and XZ.

$\frac{AB}{XZ}= \frac{3.8}{7.6}= \frac{1}{2}$            ................................(1)

Similarly, take the ratio of BC and YZ.

$\frac{BC}{YZ}= \frac{6}{12}= \frac{1}{2}$             ................................(2)

Similarly, take the ratio of AC and XY.

$\frac{AB}{XY}= \frac{3\sqrt{3} }{6\sqrt{3} }= \frac{1}{2}$          ................................(3)

From 1,2 and 3 we can say that,

$\frac{AB}{XZ}= \frac{BC}{YZ}= \frac{AC}{XY}$

Since, the ratio of three sides of the triangles are equal.

Thus, ΔABC≈ΔXZY

So, ∠A=∠X= 65°, ∠B= ∠Z= 70°, ∠Y= ∠C.

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

Hence, ∠A+∠B+∠C= 180°

65°+70°+∠C= 180°

∠C= 180°- 65°-70°

∠C= 45°

Thus, ∠C= 45°=∠Y.

Therefore, the value of ∠Y is 45°.

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