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Which statement about BC←→ is correct?

BC←→ is a tangent line because △ABC is a right triangle.

BC←→ is a tangent line because the sum of the angles in △ABC is 180º.

BC←→ is not a tangent line because m∠ABC≠90°.

BC←→ is a tangent line because m∠ABC is acute.

Which statement about BC is correct BC is a tangent line because ABC is a right triangle BC is a tangent line because the sum of the angles in ABC is 180º BC is class=

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chrysanthemum
Hello!

So a tangent line is perpendicular to the radius, which means it creates a 90 degree angle with the radius of the circle. The sum of the interior angles of any triangle is 180 degrees. To determine if line BC is a tangent line, we have to determine if angle ABC is 90 degrees. Well we know the degrees of the other two angles of the triangle, so let's set up an equation:

180 = 48 + 47 + x
180 = 95 + x
85 = x

Since angle ABC must be 85 degrees (not 90), line BC is not a tangent line.

Answer:
BC←→ is not a tangent line because m∠ABC ≠ 90°.
MrRoyal

The measure of angle at the tangent of a circle is a right angle.

  • The correct statement about BC is (c) BC is not a tangent line because m∠ABC≠90°.

Start by calculating the measure of angle ABC using the following angle in a triangle theorem

[tex]\angle ABC + 48 + 47 = 180[/tex]

[tex]\angle ABC + 95 = 180[/tex]

Subtract 95 from both sides of the equation

[tex]\angle ABC = 180 - 95[/tex]

[tex]\angle ABC = 85[/tex]

For line BC to be a tangent, then the following must be true

[tex]\angle ABC = 90[/tex]

Hence, the correct statement about BC is (c)

Read more about tangent lines at:

https://brainly.com/question/6617153