We appreciate your visit to Find angle AOB Angle AOB 2ff 5f 6f 180 frac 180 6 f30 circ f2f 60360 60 300 circ. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To solve for angle [tex]\angle AOB[/tex], let's break down the given expression:
We have [tex]\angle AOB = 2f + 5f = 6f[/tex].
It's stated that [tex]6f = 180[/tex]. This implies that the sum of the angles (or in this case, the expression [tex]6f[/tex]) represents a straight angle, which is 180 degrees.
Solving for [tex]f[/tex]:
[tex]6f = 180 \\
f = \frac{180}{6} \\
f = 30^{\circ}[/tex]Therefore:
[tex]\angle AOB = 30^{\circ} \times 6 = 180^{\circ}[/tex]The calculation process matches the standard approach for determining an unknown angle when expressed as a multiple of a smaller variable or angle. In this problem, [tex]f[/tex] has been calculated to be [tex]30^{\circ}[/tex], which helped determine [tex]\angle AOB[/tex] as a straight angle of [tex]180^{\circ}[/tex].
It seems that this is a straightforward illustration of understanding angle sums within a linear pair context or a straight angle context in geometry, which is typically covered in high school mathematics.
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