Question

find the measure of X in each of the following​

Answer 1

Answer:

(a) x=120°

(b) x=108°

(c) x=45°

Step-by-step explanation:

(a) 90°+45°+105°+x=360°    (exterior angle sum property of quadrilateral)

   ⇒240°+x=360°

   ⇒x=360°-240°

   ∴x=120°

(b) 5x=540°     (angle sum property of pentagon)

  ⇒x=540°/5

  ∴x=108°

(c) 2x+(2x-5°)+(x+15°)+(3x-10°)=360°  (exterior angle sum property of quadrilateral)

  ⇒2x+2x-5+x+15+3x-10=360°

  ⇒2x+2x+x+3x-5+15-10=360°

  ⇒8x+10-10=360°

  ⇒8x=360°

  ⇒x=360°/8

  ∴x=45°

Hope it helps you

Thank You :)

Answer 2

(a) x = 120 degree

(b) x = 108 degree

(c) x = 45 degree