Missing Angles worksheet - Free Printable

Let's solve each of these angle problems step by step. The key idea is that angles on a straight line add up to 180°.

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Problem 1:

We have one angle = 47°, and the other is labeled $ a^\circ $.
Since they are on a straight line:

$$
a + 47^\circ = 180^\circ
$$

$$
a = 180^\circ - 47^\circ = 133^\circ
$$

✔ Answer: $ a = 133^\circ $

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Problem 2:

One angle = 118°, the other is $ x^\circ $

$$
x + 118^\circ = 180^\circ
$$

$$
x = 180^\circ - 118^\circ = 62^\circ
$$

✔ Answer: $ x = 62^\circ $

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Problem 3:

Two angles labeled $ n^\circ $ and $ n^\circ $, forming a straight line.

So:
$$
n + n = 180^\circ
\Rightarrow 2n = 180^\circ
\Rightarrow n = 90^\circ
$$

✔ Answer: $ n = 90^\circ $

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Problem 4:

One angle = 134°, the other is $ y^\circ $

$$
y + 134^\circ = 180^\circ
\Rightarrow y = 180^\circ - 134^\circ = 46^\circ
$$

✔ Answer: $ y = 46^\circ $

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Problem 5:

One angle = 153°, the other is $ b^\circ $

$$
b + 153^\circ = 180^\circ
\Rightarrow b = 180^\circ - 153^\circ = 27^\circ
$$

✔ Answer: $ b = 27^\circ $

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Problem 6:

One angle = 165°, the other is $ g^\circ $

$$
g + 165^\circ = 180^\circ
\Rightarrow g = 180^\circ - 165^\circ = 15^\circ
$$

✔ Answer: $ g = 15^\circ $

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✔ Final Answers:

1) $ a = \boxed{133^\circ} $
2) $ x = \boxed{62^\circ} $
3) $ n = \boxed{90^\circ} $
4) $ y = \boxed{46^\circ} $
5) $ b = \boxed{27^\circ} $
6) $ g = \boxed{15^\circ} $

All angles were found using the rule: angles on a straight line sum to 180°.