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.
I would help you but I can't see it maybe zoom in a little closer.
Answer:131
Step-by-step explanation:
hope this helps <3
Step-by-step explanation:
<h3>
Need to FinD :</h3>
- We have to find the measures of other two angles of triangle.
We know that,
- The other two angles of triangle are in the ratio of 3 : 14. So, let us consider the other two angles of the triangle be 3x and 14x.
Angle sum property,
- The angle sum property of triangle states that the sum of interior angles of triangle is 180°. By using this property, we'll find the other two angles of the triangle.
∴ Hence, the value of x is 10°. Now, let us find out the other two angles of the triangle.
Second AnglE :
∴ Hence, the measure of the second angle of triangle is 30°. Now, let us find out the third angle of triangle.
Third AnglE :
∴ Hence, the measure of the third angle of the triangle is 140°.
Answer:
the second option
Step-by-step explanation:
