Answer:150
Step-by-step explanation:
Answer: outside the circle
Step-by-step explanation: use pythagorean theorem to check radius of circle using the given points on a circle and see if the radius of the second point matches up using pythagorean theorem. use a graphing calculator to double check.
Answer:
x=27°
Step-by-step explanation:
we know that
<u><em>The Triangle Exterior Angle Theorem</em></u>, states that: An exterior angle of a triangle is equal to the sum of the opposite interior angles
step 1
Find the measure of angle PLM
we know that
m∠PLM+m∠LPM=m∠PMN ----> by Triangle Exterior Angle Theorem
we have
m∠LPM=x°
m∠PMN=2x+72°
substitute
m∠PLM+x=2x+72°
m∠PLM=2x-x+72°
m∠PLM=x+72°
step 2
Find the measure of angle x
we know that
3x+m∠PLM=180° ----> by supplementary angles (form a linear pair)
we have
m∠PLM=x+72° (see step 1)
substitute
3x+x+72°=180°
4x=180°-72°
4x=108°
x=27°
Step-by-step explanation:
<u>Step 1: Substitute x from the second equation into the second one</u>
<u>Step 2: Substitute y into the second equation</u>
Answer: 
