QUESTION IMAGE
Question
#1 find the missing angle
#3 find the missing angle
#5 find the missing angle.
Step1: Solve #1: Use supplementary angles
The angles form a straight line ($180^\circ$). Let the missing angle be $p$.
$p + 56^\circ = 180^\circ$
$p = 180^\circ - 56^\circ = 124^\circ$
Step2: Solve #3: Use angle addition
The total angle is $96^\circ$, split into $x$ and $65^\circ$.
$x + 65^\circ = 96^\circ$
$x = 96^\circ - 65^\circ = 31^\circ$
Step3: Solve #5: Use vertical angles
Vertical angles are equal, and supplementary to $142^\circ$.
$x = 180^\circ - 142^\circ = 38^\circ$
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#1: $124^\circ$
#3: $31^\circ$
#5: $38^\circ$