Question

subject
home
my school
pace virtual
my scores
to-do list
kb
question 1
drag the correct missing angle measure to each description.
answer choices:
drag the answer choices to the correct category over here!
two angles
on a straight
line
measure
48° and
one angle
in a vertical
pair is 107°,
the other is
a triangle
has angles
36° and
59°, the
third angle
is
two
adjacent
angles form
a right
angle: one
is 33°, the
other is
a triangle
has one
angle of 90°
and another
of 28°, the
third angle
is
chat with a tutor

Explanation:

Step1: Calculate the angle on a straight line

Angles on a straight line sum to \(180^{\circ}\). Given one angle is \(48^{\circ}\), the other is \(180 - 48=132^{\circ}\).

Step2: Find the vertical - angle pair

Vertical angles are equal. If one angle in a vertical pair is \(107^{\circ}\), the other is \(107^{\circ}\).

Step3: Determine the third angle of a triangle

The sum of angles in a triangle is \(180^{\circ}\). For angles \(36^{\circ}\) and \(59^{\circ}\), the third angle is \(180-(36 + 59)=85^{\circ}\).

Step4: Calculate the adjacent angle forming a right - angle

A right - angle is \(90^{\circ}\). If one angle is \(33^{\circ}\), the other is \(90 - 33 = 57^{\circ}\).

Step5: Find the third angle of a right - angled triangle

In a triangle with angles \(90^{\circ}\) and \(28^{\circ}\), the third angle is \(180-(90 + 28)=62^{\circ}\).

Answer:

Two angles on a straight line measure \(48^{\circ}\) and \(132^{\circ}\). One angle in a vertical pair is \(107^{\circ}\), the other is \(107^{\circ}\). A triangle has angles \(36^{\circ}\) and \(59^{\circ}\), the third angle is \(85^{\circ}\). Two adjacent angles form a right - angle: one is \(33^{\circ}\), the other is \(57^{\circ}\). A triangle has one angle of \(90^{\circ}\) and another of \(28^{\circ}\), the third angle is \(62^{\circ}\).