These Activities and the missing angles.

Question

ScanSolve AI Tutor · Accepted Answer

Here are the solutions for the missing angles:

1.

Angles on a straight line sum to $180^\circ$ .
$x + 27^\circ = 180^\circ$
Subtract $27^\circ$ from both sides to find $x$ .
$x = 180^\circ - 27^\circ$ $x = 153^\circ$
The missing angle is $\boxed{\text{}153^\circ\text{}}$

2.
Angles on a straight line sum to $180^\circ$ .
$60^\circ + x + 42^\circ = 180^\circ$
Combine the known angles.
$102^\circ + x = 180^\circ$
Subtract $102^\circ$ from both sides to find $x$ .
$x = 180^\circ - 102^\circ$ $x = 78^\circ$
The missing angle is $\boxed{\text{}78^\circ\text{}}$

3.
Angles around a point sum to $360^\circ$ .
$x + x + 82^\circ = 360^\circ$
Combine the terms with $x$ .
$2x + 82^\circ = 360^\circ$
Subtract $82^\circ$ from both sides.
$2x = 360^\circ - 82^\circ$ $2x = 278^\circ$
Divide by 2 to find $x$ .
$x = \frac{278^\circ}{2}$ $x = 139^\circ$
The missing angle is $\boxed{\text{}139^\circ\text{}}$

4.
Angles around a point sum to $360^\circ$ .
$x + 70^\circ + 126^\circ + 100^\circ = 360^\circ$
Combine the known angles.
$x + 296^\circ = 360^\circ$
Subtract $296^\circ$ from both sides to find $x$ .
$x = 360^\circ - 296^\circ$ $x = 64^\circ$
The missing angle is $\boxed{\text{}64^\circ\text{}}$

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