Answer:Yes
Step-by-step explanation:
Answer:
The measure of angle x is 25 degrees.
Step-by-step explanation:
Since triangle ABC is an isosceles triangle, the measure of angle BAC is equal to the measure of angle ACB. Angle ABC = 80 degrees, leaving 100 degrees to be divided equally for the measures of the other two angles. Now that you know that angle ACB = 50 degrees, you can calculate the value of angle ACD and determine that angle ACD = 130 degrees. Triangle ACD is also an isosceles triangle, and the two equal legs are AC and CD. Since angle ACD = 130 degrees, the other two angles have a total of 50 degrees. Splitting the 50 degrees equally between the two angles gives you 25 degrees as the value of angle CAD, which is labeled "x."
The area of
equals to the sum of areas of the triangles it consists of. So,
![A(\mathrm{PQRST})=A(\mathrm{PQR})+A(\mathrm{PRS})+A(\mathrm{PST})=10.2+11.5+16.3=\boxed{38}](https://tex.z-dn.net/?f=A%28%5Cmathrm%7BPQRST%7D%29%3DA%28%5Cmathrm%7BPQR%7D%29%2BA%28%5Cmathrm%7BPRS%7D%29%2BA%28%5Cmathrm%7BPST%7D%29%3D10.2%2B11.5%2B16.3%3D%5Cboxed%7B38%7D)
Answer:
8/21
Step-by-step explanation:
because yo need to make it a improper fraction then flip it
A) Here, sum of two non-adjacent angles: 52 + 25 = 77
Now, ∠3 = 180 - 77 [ sum of all angles in a triangle is 180 ]
so, ∠3 = 103
Now, ∠3 + ∠4 = 180 [ Supplementary angles ]
So, ∠4 = 180 - ∠3
∠4 = 180 - 103 = 77
∠4 = 77 [ which is sum of two non-adjacent angles ]
....Hence proved.
b) m∠4 = 77
[ Solved in previous section ]
Hope this helps!