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.




Now, SRT is a straight line.
(Linear pair)


...(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



Therefore, the value of x is 103 degrees.
Reasonable because the three items altogether cost about $40
Step-by-step explanation:
J = 2b
M = J + 7
M = 21
J = 21 - 7
J = 14
B = 7
<em>Equation:</em>
If M is J+7, so then J = 21-7. J is 2*b, so 2*b = 21-7. Then you subtract and divide.
0.98 . Z z. ...... z .. .
Answer:
50 degrees
Step-by-step explanation:
All three angles in a triangle add up to 180 degrees. If you know the measure of two angles, add them together and subtract the sum from 180.
45+85=130. Then, subtract 130 from the total, or 180. 180-130=50. The measure of the third angle of the triangle is 50 degrees.