A, B & C lie on a straight line. D, C & E lie on a different straight line. Angle y = 119° and angle z = 53°. Work out x , explaining each stage of your working in the comment box. The diagram is not drawn accurately.

The value of x is 114°.

Step-by-step explanation:

Firstly, we have to find ∠DBC and ∠DCB. In order to find ∠DBC, you have to subtract y from 180° as ABC is a straight line :

y + ∠DBC = 180°

Let y = 119°,

119° + ∠DBC = 180°

∠DBC = 180° - 119°

∠DBC = 61°

Next, you have to find ∠DCB by subtracting z and ∠DBC from 180° as total angles in a triangle is 180° :

z + 61° + ∠DCB = 180°

Let z = 53°,

53° + 61° + ∠DCB = 180°

∠DCB = 180° - 53° - 61°

∠DCB = 66°

Lastly, in order to find x, you have to subtract 56° from 180°

x = 180° - 66°

x = 114°

you forgot the options, but i found them anyways, the correct answer is "john wilson believes that words and actions based on the intellect are superior to those based on emotions".

john wilson is depicted as an extremely intelligent man. the point of the excerpt is to make a sort of distinction between emotional and rational intelligence. he happens to have both attributes, but he clearly favors his intellectual gifts. at the same time, because of his religious background, he's a little bit conflicted with this and it makes him ashamed.

hope this !

see explanation

step-by-step explanation:

a

(6r + 7) + (13 + 7r) ( remove brackets and collect like terms )

= 6r + 7 + 13 + 7r

= 13r + 20

b

remove brackets and collect like terms

13 - r - 1 + r

= 12 - r

c

remove brackets and collect like terms

= - 8 - r + 2r - 4

= - 12 + r

d

remove brackets and collect like terms

= 7r - - - 6r

[-   - = - - = - ]

= r -