Question

Hello, I'm very confused about these 5 Questions and how to answer them, answers and how to do them for future reference would be greatly appreciated!

Answer 1

Explanation:

> 7x - 3 = 60

>7x = 63

>x = 9°.

2nd Question :-

>6x - 3 = 5x

>x = 3

3rd Question :-

>x + 4 = 3x - 8

>2x = 12

>x = 6

4th Question : -

>2x + 7 = 4x - 7

>2x = 14

>x = 7

>BC = 28

5th Question :-

Sum of interior angles for a triangle = 180°

So 73 + 73 + 6x + 4 = 180

150 + 6x = 180

6x = 30

x = 5

Answer 2

Explanation:

First Problem - it is an equilateral triangle as three sides are of same length

The interior angles of an equilateral triangle is 60 deg.

So 7x - 3 = 60

7x = 63

x = 9 deg.

Second Problem - again it is an equilateral triangle as three interior angles are equal.

So the three sides are of same length -

6x - 3 = 5x

x = 3

Third Problem - it is an isosceles triangle as the base angles are equal.

So the two sides are of same length -

x + 4 = 3x - 8

2x = 12

x = 6

Fourth Problem - it is an isosceles triangle as the base angles are equal.

So the two sides are of same length -

2x + 7 = 4x - 7

2x = 14

x = 7

BC = 4x = 28

Fourth Problem - it is an isosceles triangle as the two sides are of same length.

The base angles are equal at 73 deg.

Sum of interior angles for a triangle = 180 deg.

So 73 + 73 + 6x + 4 = 180

150 + 6x = 180

6x = 30

x = 5