Question

What is the value of t?
(geometry question)

Answer 1

T = 105

Explanation:

P + (T + 5) = 180 (bc its a straight line)

P + T = 175 (Simplify)

2P + T - 65 = 180 (All the angle measures inside the triangle added up)

2P + T = 245 (simplify a bit)

P + T = 175 and 2P + T = 245 can be used to find P

245 - 175 = 70

so P = 70

now sum in

70 + T + 5 = 180

75 + T = 180

now subtract.

T = 105

Answer 2

Explanation:

Exterior angle is equal to the sum of opposite interior angles.

p = p-33 + p-37

p = 2p - 70

2p - 70 = p

2p - p = 70

p = 70

p + t+5 = 180 {straight line}

70 + t + 5 = 180

75 + t = 180

t = 180 - 75

t = 105