Question

What is m<3 ? M<6 is and m<8 is (x+5

Answer 1

Answer:

m∠3  = 115 degrees

Step-by-step explanation:

angle 6 and angle 8 are on a straight line

we know that sum of angles on straight line is 180

therefore

m∠8 = x+5

m∠6 +  m∠8 = 180

2x - 5 + x+5 = 180

=> 3x = 180

=> x = 180/3 = 60

Thus,

m∠6 = 2x-5 = 2*60 -  5 = 115

we know that for two parallel lines cut by a transversal

alternate opposite angles are equal

m∠6  and m∠3 are alternate opposite angles

thus

m∠6  = m∠3  = 115 (answer)