In the image below, lines n and mare parallel. What is the measure of angle 4?
2 answers:
Answer:
a.) 98°
Step-by-step explanation:
Angle 5 and angle 8 (82°) are supplementary angles. This means that their sum will make a straight angle of 180°. Make an equation:
Solve for x, the value of angle 5:
Angle 5 has a measure of 98°.
Now we know the measure of angle 5. Angle 4 and angle 5 are alternate interior angles, so they are congruent. Therefore, angle 4 has a measure of 98°.
:Done
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Answer:
<u>See below:</u>
Step-by-step explanation:
Let the angles be 5x , 4x , 3x.[Since the angles are in ratio 5:4:3 ] respectively.
We know that sum of all angles of a triangle is 180°.
So,
Now Find the value of x of this equation.
Now,
Multiply each ratio given by 15 which is the value of x we got.
That is;
Hence,the measurements of the angles of the triangle would be 75°[First Angle],60°[Second angle],and 45° [Third Angle].
I hope this helps!
Let me know if you have any questions.