Hello!
Angles 3 and 1 are vertical angles, and angles 2 and 4 are vertical angles. Vertical angles are congruent by definition, so angle 3 is congruent to angle 1, and angle 2 is congruent to angle 4.
The adjacent angles are supplementary (they add to equal 180 degrees) so you can set up an equation to solve for x.
180 = 2x + x
180 = 3x
60 = x
x = 60
To find the measure if each angle, plug in x as needed.
Angle 4 = x
Angle 4 = 60 degrees
Angle 2 = angle 4
Angle 2 = 60 degrees
Angle 3 = 2x
Angle 3 = 2(60)
Angle 3 = 120
Angle 1 = angle 3
Angle 1 = 120
I hope this helps you.
Two triangle ABE and MNP are similar by AA criterion
Step-by-step explanation:
Given that ABE is an isosceles Δ with ABE= 100°
this means that some of the other two angles must be =180°-100°=80°
Since the triangle is an isosceles Δ meaning two sides measure must be equal, it means the other two sides measure 40° each.
∠BAC=∠ACB=40°
In MNP one of the base angles is 40° and the triangle is isosceles. For an isosceles triangle base angles are always equal hence other base angle is also 40° meaning
the angle measures come out to be 40°,40° and 100°
Since all the angle measures are same the two triangles are similar in aspect by AA criterion where AA refers to "angle-angle"
Answer:
The answer is C. 2
Step-by-step explanation:
Answer:
Together, Jill and Sam read 36 pages.
Step-by-step explanation:
9 + (9 * 3)
9 + 27
36
