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How Do You Find the Measure of ∠BAC in Degrees?
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In summary, the measure of $\angle BAC$ is $34^{\circ} - 8^{\circ}$ and the measure of $\angle ABC$ can be found by setting up an equation with a sum of $180^{\circ}$ for the three angles and then solving for $x$.
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Prove It
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Re: Find the measure <BAC
Surely $\displaystyle \begin{align*} \angle BAC = 34^{\circ} - 8^{\circ} \end{align*}$. Can you see why?
Surely $\displaystyle \begin{align*} \angle BAC = 34^{\circ} - 8^{\circ} \end{align*}$. Can you see why?
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Re: Find the measure <BAC
not really
Prove It said:
not really
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What about the measure of <ABC?
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MarkFL
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Re: Find the measure <BAC
The angle of elevation is $\displaystyle \begin{align*} 34^{\circ} \end{align*}$. This is the angle at point A that the segment AB makes with the horizontal.
The angle at A that is made from the slope of the ground with the horizontal is $\displaystyle \begin{align*} 8^{\circ} \end{align*}$. This combined with $\displaystyle \begin{align*} \angle BAC \end{align*}$ gives the angle of elevation.
So $\displaystyle \begin{align*} \angle BAC + 8^{\circ} = 34^{\circ} \end{align*}$, or equivalently, $\displaystyle \begin{align*} \angle BAC = 34^{\circ} - 8^{\circ} \end{align*}$.
CGuthrie91 said:
The angle of elevation is $\displaystyle \begin{align*} 34^{\circ} \end{align*}$. This is the angle at point A that the segment AB makes with the horizontal.
The angle at A that is made from the slope of the ground with the horizontal is $\displaystyle \begin{align*} 8^{\circ} \end{align*}$. This combined with $\displaystyle \begin{align*} \angle BAC \end{align*}$ gives the angle of elevation.
So $\displaystyle \begin{align*} \angle BAC + 8^{\circ} = 34^{\circ} \end{align*}$, or equivalently, $\displaystyle \begin{align*} \angle BAC = 34^{\circ} - 8^{\circ} \end{align*}$.
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180?MarkFL said:
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CGuthrie91 said:
Yes, in degrees. So, can you set up an equation, and then solve for the unknown $x$, representing $\angle ABC$?
FAQ: How Do You Find the Measure of ∠BAC in Degrees?
What is the definition of ∠BAC?
The symbol ∠BAC represents the angle formed by the two rays, BA and BC, with a common endpoint A.
How do I find the measure of ∠BAC?
To find the measure of ∠BAC, you can use a protractor to measure the angle or use trigonometric functions if you know the length of the sides of the triangle.
What is the unit of measurement for ∠BAC?
The unit of measurement for angles is degrees (°) or radians (rad). ∠BAC is typically measured in degrees.
Can ∠BAC have a negative measure?
No, the measure of an angle cannot be negative. It is always a positive value.
What is a complementary angle to ∠BAC?
A complementary angle to ∠BAC is an angle that, when added to ∠BAC, forms a right angle (90°). Two complementary angles have a sum of 90°.