Question

Which expression is equivalent to the measure of ∠ p ? a: 110 – ( 180 – 130 ) b: 360 – ( 130 – 110 ) c: 130 – 110 d: 180-130

Answer 1

the correct option is A. 110 - (180 - 130)

To find p :

• 180 - 130 (sum of angles on a straight line)

Also;

• 180 - 110 (sum of angles on a straight line)

Now we have

p + (180 - 130) + (180 - 110) = 180 (sum of angles in a triangle)

p + (180 - 130) - 110 = 180 - 180

p + (180 - 130) - 110 = 0

p = 110 - (180 - 130)

Hence, the correct option is A.