If necessary, you may learn what the markings on a figure indicate.
to
30°
Answer:
x = 60
Step-by-step explanation:
The single mark on the given lines means that the lines so marked are equal.
The given triangle which contains 30 degrees in writing has another 30 degree angle. Mark the third angle as y.
The third angle is 30 + 30 + y = 180 all triangles have 180 degrees.
60 + y = 180 subtract 60 from both sides.
y = 120
Be very careful what you do next. The lines may be equal, but the angles are not 30 degrees as they were in the lift triangle.
The 120 degree angle is an exterior angle of the right hand triangle.
There is another angle 30 degrees where the right hand triangle has been cut of.
So
x + x = 120 Property of an exterior angle.
2x = 120 Divide by 2
2x/2 = 120/2
x = 60
Answer 60
B( 20, 14, 28
C( 40, 30, 60
D( 17, 20, 25
The side lengths form a triangle that is similar to triangle ABC will be 30, 21, and 45. Option A is correct.
In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
It is found that the sides of the triangle are,
AB=10
BC=7
CA=15
In order for the triangle to similar the ratio of their sides is equal.
AB:BC: CA = 10:7:15
The ratio is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
AB:BC: CA = 10×3:7×3:15×3
AB:BC: CA =30, 21, 45
The ratio of the triangle for the given condition must be the same.
Thus, the side lengths that form a triangle that is similar to triangle ABC will be 30, 21, and 45. Option A is correct.
Learn more about the triangle here:
#SPJ2
A: 7*6>_9*5
B: 7*6<9*5
C: 7*6>9*5
D: 7*6<_9*5