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hichkok12 [17]
1 year ago
14

In the figure shown to the right, two angle measurements are given. Determine the others.

Mathematics
1 answer:
creativ13 [48]1 year ago
8 0

The figure is shown below

From the figure

Angle 150 degree and angle p forms angles on a straight

Since the sum of angles on a straight line equals 180 degrees

Hence

150^{\circ}+p=180^{\circ}

Solve for p in the equation

\begin{gathered} p=180^{\circ}-150^{\circ} \\ p=30^{\circ} \end{gathered}

Hence, p = 30

From the figure

Angle p and angle q are vertically opposite angles

Since vertically opposite angles are equal then

p=q=30^{\circ}

Hence, q = 30

Applying the rule of angles on a straight line

This implies

q+w+60=180

Substitute q = 30 into the equation

30+w+60=180

Solve for w

\begin{gathered} w+90=180 \\ w=180-90 \\ w=90 \end{gathered}

Hence, w = 90

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Step-by-step explanation:

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3 years ago
A cable for a power transformer forms
posledela

Answer:

32 ft

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From the diagram, the side opposite the 60° angle is 28 feet.

We are looking for the approximate length of the cable.

The approximate length of the cable is the hypotenuse of the triangle shown.

Recall the sine ratio from SOH-CAH-TOA

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Let the hypotenuse be h, then we have:

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