Question

Can someone solve with working/solution these 3 questions Plzzz

Answer 1

(c)
`x=55`°

(d)
`x=21`°

(e)
`x`°
`=42`° and
`y`°
`=16`°

Explanation:

The triangle is an isosceles triangle with the base angles which are identical. The double stroke on the sides of the triangle indicates which angles are the base angle. The angle corresponding to the side of the triangle with no double stroke is known as the vertex angle.

(c) The given angle is the vertex angle in this question and it is 70°

Since,
`x`° is one of the base angle, then the other angle which is not drawn is identical to
`x`° .

Total angle of a triangle is 180°.

`180`°
`-70`°
`=2x`°

`2x`°
`=110`°

Divide by 2 on both sides to get
`x`°

`x`°
`=55`°

(d)

The given angle is a base angle in this question and it is 63°.

Since base angles are identical, then

`63`°
`=3x`°

Divide by 3 on both sides to get
`x`°

`x`°
`=21`°

(e)

The given angle 48° is a base angle.

Since base angles are identical, then

`48`°
`=3y`°

Divide by 3 on both sides to get
`y`°

`y`°
`=16`°

Total angle of a triangle is 180°.

So,
`180`°
`-48`°
`-3y`°
`=2x`°

`2x`°
`=84`°

Divide by 2 on both sides to get
`x`°

`x`°
`=42`°