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# What is the measure of A B C?

Updated: 10/31/2022

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12y ago

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12y ago

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Q: What is the measure of A B C?
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### Explain what the Law of sines becomes when one of the angles is a right angle?

The Law of sines: a/sin A = b/sin B = c/sin CIf the angle C in the triangle ABC is 90 degrees, then the triangle ABC is a right triangle, where c is the measure of the hypotenuse, a is the measure of the leg opposite the angle A, and b is the measure of the leg opposite the angle B.Let us observe what happens when sin C = sin 90 degrees = 1.c/sin C = a/sin A cross multiply;c sin A = a sin C divide by c both sides;(c sin A)/c = (a sin C)/c simplify c on the left hand side;sin A = (a sin C)/c = [(a)(1)]/c = a/csin A = (measure of leg opposite the angle A)/(measure of hypotenuse)From the Law of Cosine we know that cos A= (b^2 + c^2 - a^2)/(2bc). If we substitute a^2 + b^2 for c^2, we have:cos A = (b^2 + (a^2+ b^2) - a^2 )/(2ab)cos A = 2b^2 /2ab simplify;cos A = b/c = (measure of leg adjacent the angle A)/(measure of hypotenuse) Therefore tan A = sin A/cos A =(a/c)/(b/c) = (a/c)(c/b) = a/b = (measure of leg opposite the angle A)/(measure of leg adjacent to angle A). And cot A = cos A/sin A = (b/c)/(a/c) = (b/c)(c/a) = b/a = (measure of leg adjacent to angle A)/(measure of leg opposite the angle A).

### In triangle ABC the measure of angle B is 40 less than the measure of angle A the measure of angle C is 20 more than twice the measure of angle A what is the measure of angle C?

A = 60 B = 20 C = 140 This can have a large number of answers.

### In this parallelogram the measure of b exceeds the measure of a by 30 What is the measure of c?

In a parallelogram adjacent angles are supplementary, so angles are 75 degrees (A &amp; C) and 105 degrees (B &amp; D).

### Find the measure of angle c if a 115 and b 30?

how to find the measure of angle C in the following triangle

b

### If the measure of angle A is 16 more than the measure of angle B and the measure of angle C is 29 more than the measure of angle B what is the measure of each angle?

If we are talking about a triangle here, then: A = 61&ordm; B = 45&ordm; C = 74&ordm; But, since you did not specify, there is an infinite number of answers.

### The measure of angle 3 is five less that the measure angle 2 THe measure angle 1 is five more than three times the measure of angle 2?

Let first angle be "A", second angle "B" and third angle "C", then C = B - 5 A = 3B + 5 But "A" + "B" + "C" must rqual 180 Substitue for "A" and "C" and we get 3B + 5 + B + B - 5 = 180 5B = 180 or B = 36 degrees Therefore A = 3 x 36 + 5 = 113 degrees and C = 31 degrees Verification: A + B + C = 113 + 36 + 31 = 180

### Can you use the law of sines if 3 sides are given?

Yes, but you would need to know a degree measure too. [Sin(A)/a] = [Sin(B)/b] = [Sin(C)/c] [a/Sin(A)] = [b/Sin(B)] = [c/Sin(C)]

### In this parallelogram the measure of b exceeds the measure of a What is the measure of d?

In a parallelogram adjacent angles are supplementary, so angles are 75 degrees (A &amp; C) and 105 degrees (B &amp; D).

### What are the notes to believe by polar express on viola?

PLEASE NOTE ~ |= MEASURE SEPARATION ALL OF THE Ds ARE HIGH D AND OPEN D WILL BE WRITTEN IN ITALICS ( D )4/4 B B B B B B| B D G A B| C# C# C# C# C# B B|B A A B D|B B B B B B| B D G A B| C# C# C# C# C# B B B| D D C# A G| D B A G D | D B A G E | E C# B A F | D D C# A B| D B A G D | D B A G E | E C# B A D D D D | E-(high) D C# A G D| B B B B B B| B D G A B| C# C# C# C# C# B B|B A A B D| B B B B B B| B D G A B| C# C# C# C# C# B B B| D D C# A G|

### What is the measure of angle c angle a is 2 x degrees angle b is 4 x degrees and angle c is 6 x degrees?

x=? 2x = A 4x = B 2A = B 6x = C C= 3A. or C = 1.5*B For a digit, you need to give the measurement of either A or B