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kotykmax [81]
3 years ago
8

Find the measure of angle ABC

Mathematics
2 answers:
Julli [10]3 years ago
7 0

In every triangle, the sum of the interior angles is 180°. The sum of the angles of this triangle is

32+(2x-15)+(x-5) = 2x+x+32-15-5 = 3x+12

and we want this sum to be 180, so we can write the following equation:

3x+12 = 180

subtract 12 from both sides:

3x = 168

divide both sides by 3:

x = \cfrac{168}{3} = 56

Now we can plug this value for x in the expressions for the two unknown angle to get their value:

B = x-5 = 56-5 = 51,\quad C = 2x-15 = 2\cdot 56-15 = 112-15 = 97

enot [183]3 years ago
4 0
You will get x as 56 and angle ABC as 51°
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julsineya [31]

Given:

The three exterior angles of a pentagon measures 60,80 and 90.

To find:

The measure of other two exterior angle, assuming them equally.

Solution:

Let x be the measure of two other exterior angles of the pentagon.

We know that the sum of all exterior angles of a pentagon is 360 degrees.

60^\circ+80^\circ+90^\circ+x+x=360^\circ

230^\circ+2x=360^\circ

2x=360^\circ-230^\circ

2x=130^\circ

Divide both sides by 2.

\dfrac{2x}{2}=\dfrac{130^\circ}{2}

x=65^\circ

Therefore, the measures of both exterior angles are 65 degrees.

6 0
3 years ago
Please help with either of these questions. Put the answer in the comments please
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Answer:

2) distance = 4 km

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Step-by-step explanation:

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Thus;

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tatyana61 [14]

Answer:

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7 0
2 years ago
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Dafna11 [192]
The umber  10.5  can be written as

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3 0
3 years ago
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2) (-8, -9). (4.-10)
const2013 [10]

Answer: √

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Slope −0.0833333333333333

x intercept −116.00

y intercept −9.67

4 0
3 years ago
Read 2 more answers
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