Answer:
96
Step-by-step explanation:
Hello There!
The following figure shown is a parallelogram
If you didn't know opposite interior angles of a parallelogram are congruent
Therefore the angle that has a measure of 96 degrees and the angle labeled 2 are congruent
hence ∠2=96
Answer:
Step-by-step explanation:
Given:
An isosceles triangle ABC with AB = AC.
∠A = 
∠B = 
∠C = 
We know that, for an isosceles triangle, the angles opposite equal sides are also equal to each other.
Therefore, ∠B = ∠C
⇒ 
⇒ 
∴ ∠C = 
°
Now, the sum of all the interior angles of a triangle is always 180°.
Therefore, the value of 'y' is 5.
answer:
x = 29
y = 29
z = 61
step-by-step explanation:
all angles in a triangle must equal 180 degrees.
we were already given the angle degree of 61 degrees so we must include that in our formula to determine the degree of y.
the line in the middle already gives us two more angles because they both are 90 degrees for being a perfect quarter turn.
so to figure out y,
we must add 61+90 and then subtract the sum of that from 180.
so, 61+90 = 150 and 180-151 = 29
therefore,
we can conclude that y = 29
now, to determine the degrees of x and z we do the same thing.
we already know one angle equals 90 degrees.
180-90 = 90
that concludes that x and z must have a sum of 90.
if we use our choices,
39+61 = 100 (no)
39+29 = 68 (no)
29+61 = 90 (CORRECT)
29+29 = 28 (no)
<em>therefore, x = 29 and z = 61</em>
<em></em>
<em>so, in total :</em>
<em>x = 29</em>
<em>y = 29</em>
<em>z = 61</em>
<em></em>
<em>hope this helps :)
</em>
<em>-audrey <3
</em>
