Question

Ray BA II Ray DC ∠ABM = 75 ∠PMD = 30 Find the value of x​

Answer 1

Answer:

The value of x is 70 Mark me as Brainlist

Answer 2

Answer:

Since BA||DC,

=> <ABC = <BPD= 75° (alternate interior <s) --- equ.(1)

Now ,

<BPD + <MPD=180° (linear pair)

=> 75⁰+ <MPD=180° (from equation 1)

=> <MPD=180°-75°

=> <MPD=105°---- equ.(2)

In Triangle MPD ,

<MPD + <PMD + x = 180° {sum of all angles of a triangle is equal to 180°)

=> 105⁰+ 30⁰+ x =180°

=> x = 180⁰- 135⁰

=> [x = 45⁰] Ans....