Question

plz guys solve kardo pura mental maths me questions plz behen samajh ke Mai brainlist bna doongi pka please please please please please please please please please please please please please please please please please please please please please please please please please please please yaar Please please​

Answer 1

1.) Given:

• ∠A = 65° , ∠B = 80° and ∠C = 35°

To Find:

• Measure of angle y.

Solution: In ∆ABC , ∠C and ∠Y are the linear pair angles.

As we know that

★ Sum of Linear Pair ∠s = 180° ★

$\implies{\rm }$ ∠C + ∠Y = 180

$\implies{\rm }$ 35 + ∠Y = 180

$\implies{\rm }$ ∠Y = 180 – 35

$\implies{\rm }$ ∠Y = 145°

Hence, meaure of angle y is 145°.

______________________

2.) Given:

• Meaure of two interior opposite angles of triangle are 80° and 25°.

To Find:

• What is the meaure of exterior angle of ∆?

Solution: Let the meaure of exterior angle be x.

There is a property of triangle that states

• Meaure exterior angle of triangle will be the sum of its two interior angles of the triangle.

∴ Exterior angle = Sum of two interior amgles

$\implies{\rm }$ x = 80° + 25°

$\implies{\rm }$ x = 105°

Hence, the meaure of exterior angle of triangle is 105°.

__________________

3.) Median is also called the Vertex in an equilateral triangle.

__________________

4.) Given:

• A tree is broken from a height 24 m.
• Top of broken tree touches ground at 10 m distance.

To Find:

• What is original height of tree ?

Solution: Let the total height of tree be DB and it broke from AB such that AB = 24 m.

Now, in right ∆ABC , We have

• AB = Perpendicular (24 m)
• BC = Base (10 m)
• ∠ABC = 90°
• AC = Hypotenuse

Applying Pythagoras thereom in ∆ABC

★ H² = B² + P² ★

$\implies{\rm }$ AC² = BC² + AB²

$\implies{\rm }$ AC² = 10² + 24²

$\implies{\rm }$ AC² = 100 + 576

$\implies{\rm }$ AC² = 676

$\implies{\rm }$ AC = √676

$\implies{\rm }$ AC = 26

So, the original height of the tree is DB

➬ DB = AC + AB

➬ DB = 26 + 24

➬ DB = 50 m

Hence, the original height of tree is 50 m.