Find the measures of angles 1 and 2. If necessary, round to the tenths place.
1 answer:
Answer:
Option C
Step-by-step explanation:
From the picture attached,
m∠ABC = 40° [Given]
Since, measure of the intercepted arc is double of the measure of the inscribed angle.
Therefore, m(arc AC) = 2(m∠ABC)
m(arc AC) = 2(40°)
= 80°
m(arc FB) = 115° [Given]
By applying theorem of the angles formed by the chords inside a circle,
m∠2 =
=
= 97.5°
m∠1 + m∠2 = 180° [Linear pair of angles are supplementary]
m∠1 + 97.5° = 180°
m∠1 = 180° - 97.5°
= 82.5°
Option C is the answer.
You might be interested in
The matrix represents the vertices of the rectangle after it is scaled by a factor of 3 is,
[ 0 12 12 0]
[ 0 0 12 6]
<h2>We have to determine</h2>Which matrix represents the vertices of the rectangle after it is scaled by a factor of 3?
<h3>According to the question</h3>The vertices of the triangle are
The scale factor is 3.
<h3>The vertices of the triangle are scaled with the factor of 3 so the vertices are get multiplied by 3.</h3>Therefore,
The vertices of the rectangle after scaled by the factor of 3 are,
The vertices of the rectangle after it are scaled by a factor of 3.
Therefore,
The matrix represents the vertices of the rectangle after it is scaled by a factor of 3 is,
[ 0 12 12 0]
[ 0 0 12 6]
To know more about Matrix click the link given below.