How do i find the value of x

answer x=150°

here PQRS is a cyclic quadrilateral

so, W.K.T

the sum of opp.angles of cyclic quadrilateral is 180°

now, PQR+PRS=180°

Here,PSO+OSR=PRS

PQR+PSO+OSR=180°

120°+45°+OSR=180°

165°+OSR=180°

OSR=180°-165°

OSR=15°

now, OS=OR [ Radii of circle]

so, OSR=ORS [ Angle opp.equal side ]

consider triangle OSR,

OSR+SOR+ORS=180° [ angle sum property of triangle ]

15°+15°+SOR=180°

x=180°-30°

x=150°

hope it will help you

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

i think there was a typo. you wrote pat brings 3 quarts of ice-cream to the party. each serving of ice-cream is 1 6 quart. how many total servings of ice-cream does pat bring to the party? i think the bold is supposed to be 1/6. so 1 quart of ice cream = 6 servings. 6 * 3 = 18.