All the angles of a triangle add up to 180 degrees.
30+39+<4= 180
69+<4= 180
Subtract 69 on both sides.
<4= 111 degrees
<1 and <4 are supplementary and adjacent. They equal 180 degrees as well.
111+<1= 180
<1= 69 degrees
I hope this helps!
<em>~kaikers</em>
Positive infinity is going after three hope this helps
Answer: Choice C) 2
----------------------------------------------
Explanation:
Using the law of sines, we get
sin(B)/b = sin(C)/c
sin(18)/7 = sin(C)/11
0.0441452849107 = sin(C)/11
11*0.0441452849107 = sin(C)
0.4855981340177 = sin(C)
sin(C) = 0.4855981340177
C = arcsin(0.4855981340177) or C = 180-arcsin(0.4855981340177)
C = 29.0516679549861 or C = 150.948332045013
There are two possibilities for angle C because of something like sin(30) = sin(150) = 1/2 = 0.5
Those approximate values of C round to
C = 29.05 and C = 150.95
If C = 29.05, then angle A is
A = 180-B-C
A = 180-18-29.05
A = 132.95
Making this triangle possible since angle A is a positive number
If C = 150.95, then angle A is
A = 180-B-C
A = 180-18-150.95
A = 11.05
making this triangle possible since angle A is a positive number
There are two distinct triangles that can be formed.
One triangle is with the angles: A = 132.95, B = 18, C = 29.05
The other triangle is with the angles: A = 11.05, B = 18, C = 150.95
The decimal values are approximate
Answer: The answer would be
75
Step-by-step explanation:
If you do 75+75+30 it would add up to 180 which is what a triangle is worth.
The statements and reasons for the proof are:
- CN ≅ WN [given]
- ∠C ≅ ∠W [given]
- m∠CNR ≅ ∠WNO [vertical angles theorem]
- ΔCNR ≅ ΔWNO [ASA theorem]
- RN = ON [CPCTC]
<h3>What is the CPCTC and ASA Congruence Theorem?</h3>
When two triangles have two corresponding congruent angles and one corresponding included sides that are congruent, both triangles are congruent by ASA. By implication, the CPCTC states that since they are congruent triangles, all its corresponding parts are congruent to each other.
The statement for the proof along with the reasons in bracket are:
- CN ≅ WN [given]
- ∠C ≅ ∠W [given]
- m∠CNR ≅ ∠WNO [vertical angles theorem]
- ΔCNR ≅ ΔWNO [ASA theorem]
- RN = ON [CPCTC]
Learn more about the CPCTC theorem on:
brainly.com/question/14706064
#SPJ1
