What is the value of n?

Mathematics

2 answers:

AnnZ [28]4 years ago

7 0

<span>An exterior angle of a triangle is equal to the sum of the opposite interior angles.
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n = (180 - 133) + (180 - 142)
n = 47 + 38
n = 85

Answer
C. 85

viktelen [127]4 years ago

3 0

You would first subtract 133 from 180 and get 47
then subtract 142 from 180 and get 38
then add 47 and 38 together to get 85
then subtract 85 from 180 to get 95
95 would be the value next to N
subtract 95 from 180 and you'll get 85 as your N angle

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Find the values of x and y.

Elis [28]

Answer:

Option A

x=6 , y=9

Step-by-step explanation:

As we can see in the figure that point T is the mid point of rectangle and there are two diagonals QS and PR

So in basic geometry we know that the length of the diagonal from the mid point i.e. Taking the diagonal QS the length of QT and TS would be equal because they are same diagonal which is cut into two parts by point T

Similarly the Length of RT and the length of TP would be same

From all this we deduct that

3x = 2y ..................(i)

and

y + 3 = 2x ................(ii)

From equation (i)

3x = 2y

Dividing both sides by 3 the equation becomes

x= $\frac{2y}{3}$ ....................(iii)