Given:
Two lines intersect each other.
Consider the below figure attached with this question.
To find:
The value of x.
Solution:
If two lines intersect each other then the vertically opposite angles are congruent and their measures are equal.
In the given figure, the measures of two vertically opposite angles are (2x+29)° and (9x-13)°.



Divide both sides by -7.


Therefore, the value of x is 6.
The measure of each base angle is 34 degrees and the measure of the vertex angle is 112 degrees
Find the diagram attached.
The base of the isosceles triangle is "b".
Since the base angles are equal, hence the sum of the interior angle is expressed as:
b + b + 112 = 180
2b + 112 = 180
2b = 180 - 112
2b = 68
b = 68/2
b = 34 degrees
Hence the measure of each base angle is 34 degrees and the measure of the vertex angle is 112 degrees
Learn more angles here: https://brainly.in/question/37797326
Answer:
yes
Step-by-step explanation:
Answer:
x = 9
Step-by-step explanation:
Assuming the rectangles are similar
13 x
------ = ---------
130 90
Using cross products
13*90 = 130*x
Divide each side by 130
13*90/130 = x
x = 9