Answer:
Find the the angle by subtracting 159 from 180 that’s your answer= 21 degrees
Step-by-step explanation:
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Considering the angle a by cosine rule
11^2 =7 ^2 +15^2 - 2(7)(15)cos(a)
When you do the maths,
Cos(a) =153/210 =0.729
a= cos inverse of 0.729
a=43 degrees
Considering angle b
7^2=15^2 +11^2 -2(11)(15) cos(b)
This will result in cos(b) =297/330=0.9
b= cos inverse of 0.9 = 25.8 degrees
Considering angle c
15^2=7^2 +11^2 - 2(11)(7) cos(c)
Cos(c) will be = -55/154 = -0.357
c= cos inverse of -0.357=110.9
Comparing the angles a,b and c,
C is the largest size in the triangle with an angle of 110.9 degrees
Am I right please ??
Answer:


Step-by-step explanation:
It is important to remember that, by definition, the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.
In this case we can idenfity that the angle
is an exterior angle of the triangle QRT. Then:

Where:

Substituting values and solving for "x", we get:

Then:

The sum of the interior angles of a triangle is 180°, therefore:

Solving for
, we get:

24/4=6
so 6 pieces on each side, since a rectangle is a square
<span>2x+3y=7
x-y=1
</span>2x+3y=7
x=1+y
2*(1+y)+3y=7
x=1+y
2+2y+3y=7
x=1+y
5y=5 |(:5)
x=1+y
y=1
x=2
CHECK:
2x+3y=7
x-y=1
2*2 + 3*1 = 7
x-y = 1
2-1 = 1