A triangle has a bottom left angle of (x + 15) degrees and a bottom right angle of (x degrees). 1 parallel and horizontal line s
its at the top point of the triangle. Another parallel and horizontal line sits at the base of the triangle. The exterior angle to the bottom right angle of the triangle is (4 x minus 20) degrees.
What is the value of x?
What is the value of x?
1 answer:
Answer:
<em>The value of x is 40°</em>
Step-by-step explanation:
The triangle described in the text of the question is shown in the image attached.
Note the angles x and 4x-20 are supplementary since they form a line. Thus:
x + 4x - 20 = 180
Simplifying:
5x - 20 = 180
Adding 20:
5x = 200
Solving:
x = 200/5 = 40
The value of x is 40°
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The radius of the circle is 3 cm.
<u>Step-by-step explanation:</u>
Refer the attached diagram, the circle with centre O. In that given, AB is tangent given as 4 cm and distance of point from the circle, OA = 5 cm
As AB is tangent, OB (radius of circle) is perpendicular to AB (tangent at any point of circle). Therefore the angle of OBA is 90 degree.
Also, triangle OAB is a right angled triangle (refer attached diagram). By using Pythagoras theorem in right angled triangle,
Substitute the given values in the above expression, we get
Taking square root on both side, we get
Radius of the circle, OB = 3 cm
