Question

answer these with explanation

Answer 1

5 1 the angle which is equal to it's complement is 45 degrees
2 the angle which is equal to it's supplement is 90 degrees

6 X+4+2X-7=90
3X-3=90
3(X-1)=90
X-1=30
X=31 degrees
7 2X+7X=180
9X=180
X=20
2X=40
7X=140

Answer 2

5.(i) let the angle be x

ATQ. x+x=90°

2x=90°

x=45°

angle equal to its complement is 45°

(ii) let the angle be y

ATQ. y+y=180°

2y=180°

y=90°

the angle equal to it's supplement is 90°

6. x+4+2x-7=90°

3x-3=90°

3x=93°

x=31°

the required value of x is 31°

7. let the angles be 2x and 7x

2x+7x=180°

9x=180°

x=20°

the required value of x is 20°

2x=40°

7x=140°

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