Answer:
Angle A
Step-by-step explanation:
a is greater than b, which is greater than c
a triangle has 180 degrees
so 180-90 is 90
90-60 is 30
a>b>c
90>60>30
this would be a right triangle since one of the angles is 90 degrees
Answers: ∠a = 30° ; ∠b = 60° ; ∠c = 105<span>°.
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1) The measure of Angle a is 30°. (m∠a = 30°).
Proof: All vertical angles are congruent, and we are shown in the diagram that angle A — AND the angle labeled with the measurement of 30°— are vertical angles.
2) The measure of Angle b is 60°. (m∠b = 60<span>°).
Proof: All three angles of a triangle add up to 90 degrees. In the diagram, we can examine the triangle formed by Angle A, Angle B, and a 90</span>° angle. This is a right triangle, and the angle with 90∠ degrees is indicated as such (with the "square" symbol). So we know that one angle is 90°. We also know that m∠a = 30°. If there are three angles in a triangle, and all three angles must add up to 180°, and we know the measurements of two of the three angles, we can solve for the unknown measurement of the remaining angle, which in this case is: m∠b.
90° + 30° + m∠b = 180<span>° ;
</span>180° - (<span>90° + 30°) = m∠b ;
</span>180° - (120°) = m∠b = 60<span>°
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Now we need to solve for the measure of Angle c (<span>m∠c).
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All angles on a straight line (or straight "line segment") are called "supplementary angles" and must add up to 180</span>°. As shown, Angle c is on a "straight line". The measurement of the remaining angle represented ("supplementary angle" to Angle c is 75° (shown on diagram). As such, the measure of "Angle C" (m∠c) = m∠c = 180° - 75° = 105°.
Answer:
Step-by-step explanation:
length of an arc(s) = θ/360 x 2πr
where θ is the central angle and r is the radius
To simplify fractions, all you have to do is divide both the numerator and the denominator by the greatest common factor of both integers.
In this case, the greatest common factor of 2 and 10 is 2.
2/2=1
10/2=5
So, 2/10 in its simplest form is 1/5.
Answer:
x = 6
Step-by-step explanation:
