(SAT PREP) Find the value of x. (I have several, please help!!)

Mathematics

1 answer:

balandron [24]3 years ago

7 0

question 1 :- sum of all angles of a triangle is 180°

so, x + 39° + 25° + 15° = 180°

⇒x + 79° = 180°

⇒x = 101°

question 2 : draw the along with AD and make and triangle as shown in figure.

as ABCD is a parallelogram. so, angle FDE = 180° - x

and angle FED = 180° - x [ as FEA + FED = 180° ]

now from ∆DEF,

50° + 180° - x + 180° - x = 180°

⇒230° - 2x = 0

⇒x = 105°

also read : If (A + B) =(A-B) then the angle between the Ả and B.

brainly.in/question/12391097

(SAT Prep) In the figure, a+b+d+e =

A. 330°

B. 325°

C. 290°

D. 300°

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Step-by-step explanation:

ZX is the diameter of the circle with center A.

$\therefore m\angle YAZ + m\angle XAY = 180°\\\therefore (5w+4)°+(11w)°= 180°\\\therefore (16w+4)° = 180°\\\therefore 16w+4 = 180\\\therefore 16w = 180 - 4\\\therefore 16w = 176\\\therefore w = \frac{176}{16}\\\therefore w =11\\ \therefore m\angle YAZ = (5w+4)°\\\therefore m\angle YAZ = (5\times 11+4)°\\\therefore m\angle YAZ = (55+4)°\\\therefore m\angle YAZ = 59°\\\because \overset{\frown}{YZ) = m\angle YAZ\\\therefore \overset{\frown}{YZ) = 59°\\$