Question

Please answer...............​

Answer 1

Answer:

1. a) supplementary

b) equal

c) supplementary as well as equal

d) complementary

2. a) 180 - 42 = 138°

Answer 2

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1:Identify the following pairs of angles are complementary, supplementary or equal:

a:15° and 75°

Complementary angles.

b:133° and 133°

Supplementary angles.

c: 90° and 90°

Equal.

d:45° and 5°

Complementary angles.

2: Find x in figures:

a:The sum of angles that are formed on a straight line is equal to 180°.

So , 42°+x°=180°,

x°=180-42,

x°=138°.

b:The sum of angles that are formed on a straight line is equal to 180°.

So, x°+x°+105°=180°,

2x°+105°=180°,

2x°=180-105,

2x°=75°,

x°=$\bold{\frac{75}{2} }$°

x°=37.5°.

c:Here both sides of line are counted so sum is 360°.

x°+x°+$\bold{\frac{x}{2} }$+90°,

$\bold{\frac{3x}{2} }$+90°=360°,

$\bold{\frac{3x}{2} }$=360°-90° = 270°,

(By cross multiplication:)

3x=540°,

x=$\bold{\frac{540}{3} }$,

x=180°.

Verification:

90+180/2+90+90= 360°,

90+90+90+90=360°.

360°=360°

3:Angle + Supplement = 180°, hope you know that

Supplement = x

angle = 2x - 30

so ,

2x - 30 + x = 180 °

3x - 30 = 180

3x = 210 °

x = 70 °

So supplement is 70

180-70=110 °

so the angle is 110°.