Question

Pls help 4 100 points in geometry i will giv brainliest

Answer 1

a=35°

Answer:

Solution given;

∡ZTN=85°

∡NTM=a

∡RTM=60°

∡ZTN+∡NTM+∡RTM=180°[since the sum of angle of a straight line is 180°]

substituting value

85°+a+60°=180°

a+145°=180°

a=180°-145°

a=35°

again

∡ZTN=∡TNM=85°[alternate angle]

Step-by-step explanation:

Answer 2

Answer:

a = 35

c = 85

Step-by-step explanation:

85 + 60 + a = 180 as they are all supplementary angles (together they form an angle of 180°)

therefore a = 35.

a + ( 180 -(a+85)) + c =180 (as the angles of a triangle add up to 180°. our triangle is NMT, the angles are a, c and 180°-(a+85°) for a theorem about lines secant to parallel lines)

therefore c = 85