Happy New Year from MrBillDoesMath!
Answer:
Proof by ASA congruence postulate. See below
Discussion:
Fact 1 : angle A = angle T (given)
Fact 2: The angles on both sides of point X are equal as vertical angles
are equal.
From these facts it follows that angle M = angle H (as all plane triangles have 180 degrees). Also AM = TH (given) so
In the left triangle In the right triangle
(angle M, side AM, angle A) = (angle H, side TH, angle T)
Hence the triangles have two congruent angles, and congruent sides included between the angles, so they are congruent by ASA.
Thank you,
MrB
Answer: 8/3
Step-by-step explanation:
Answer:
Complementary angles are two angles that have a sum of 90°.
Supplementary angles are two angles that have a sum of 180°.
A ABC BCD SUPP 90+90=180
B BCA ACD COMPL 45+45=90
C BCA CDA NEITHER 45+90=135
D ABC CDA SUPP 90+90=180
E BAC CAD COMPL 45+45=90
Step-by-step explanation:
Answer: 20 degrees
Step-by-step explanation:
- You add both angle for them to equal 180
- You solve for x
- 3x-10=20; 6x+100=120
