Answer: lol your using canvas
1. 63
2. D
3. B
4. A
Sorry for the bland explinations havin a bad day.
Step-by-step explanation:
1. The way we solve this is by adding the degrees 72 and 45. then we subtract it by 180. this is because in all triangles the angles always add up to 180 degrees.
2. Like question one what set of angles measures to 180 degrees.
3. The sides of a triangle should define the angle measurements. you can also see if its a triangle if the numbers are continues like 3,4,5 or in this case 4,5,6
4. like in questions 1 and 2 the angles of a triangle has to equal 180 degrees so 60 times 3 is 180 so each angle would have to be 60 degrees.
Given:
PQRS is a circle, PQT and SRT are straight lines.
To find:
The value of x.
Solution:
Since PQRS is a circle, PQT and SRT are straight lines, therefore, PQRS isa cyclic quadrilateral.
We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.
![m\angle SPQ+m\angle QRS=180^\circ](https://tex.z-dn.net/?f=m%5Cangle%20SPQ%2Bm%5Cangle%20QRS%3D180%5E%5Ccirc)
![81^\circ+m\angle QRS=180^\circ](https://tex.z-dn.net/?f=81%5E%5Ccirc%2Bm%5Cangle%20QRS%3D180%5E%5Ccirc)
![m\angle QRS=180^\circ-81^\circ](https://tex.z-dn.net/?f=m%5Cangle%20QRS%3D180%5E%5Ccirc-81%5E%5Ccirc)
![m\angle QRS=99^\circ](https://tex.z-dn.net/?f=m%5Cangle%20QRS%3D99%5E%5Ccirc)
Now, SRT is a straight line.
(Linear pair)
![m\angle QRT+99^\circ=180^\circ](https://tex.z-dn.net/?f=m%5Cangle%20QRT%2B99%5E%5Ccirc%3D180%5E%5Ccirc)
![m\angle QRT=180^\circ-99^\circ](https://tex.z-dn.net/?f=m%5Cangle%20QRT%3D180%5E%5Ccirc-99%5E%5Ccirc)
...(i)
According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.
Using exterior angle theorem in triangle QRT, we get
![m\angle PQR=m\angle QRT+m\angle QTR](https://tex.z-dn.net/?f=m%5Cangle%20PQR%3Dm%5Cangle%20QRT%2Bm%5Cangle%20QTR)
![x=81^\circ+22^\circ](https://tex.z-dn.net/?f=x%3D81%5E%5Ccirc%2B22%5E%5Ccirc)
![x=103^\circ](https://tex.z-dn.net/?f=x%3D103%5E%5Ccirc)
Therefore, the value of x is 103 degrees.
Answer:
he was supposed to add three on both sides
No no no no no no no no no jk its c your welcome