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Firdavs [7]
3 years ago
15

(a) An angle measures 40°. What is the measure of its complement?

Mathematics
3 answers:
antiseptic1488 [7]3 years ago
8 0
<h2>(a)</h2>

If the sum of the measures of two angles is 90° they are known as complementary angles.

  • Let the value of unknown angle be x.

According to the question

⇨x + 40° = 90°

⇨x = 90° - 40° [Subtract]

⇨x = 50°

Complement angle is 50°

<h2>____________________</h2>

<h2>(b)</h2>

If the sum of the measures of two angles is 180° they are known as supplementary angles.

  • Let the value of unknown angle be x.

According to the question

⇛x + 63° = 180°

⇛x = 180° - 63° [Subtract]

⇛x = 117°

Supplement angle is 117°

makkiz [27]3 years ago
6 0

Answer:

see below

Step-by-step explanation:

Complements add to 90 degrees

x+40 = 90

x = 90-40

x = 50

Supplements add to 180

y+63 =180

y = 180-63

y = 117

kaheart [24]3 years ago
5 0
<h2>(a)</h2>

If the sum of the measures of two angles is 90° they are known as complementary angles.

  • Let the value of unknown angle be x.

According to the question

⇛x + 40° = 90°

⇛x = 90° - 40° [Subtract]

⇛x = 50°

Complement angle is 50°

<h2>____________________</h2>

<h2>(b)</h2>

If the sum of the measures of two angles is 180° they are known as supplementary angles.

  • Let the value of unknown angle be x.

According to the question

⇨x + 63° = 180°

⇨x = 180° - 63° [Subtract]

⇨x = 117°

Supplement angle is 117°

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