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Misha Larkins [42]
1 year ago
7

The measure of the second angle of a triangle is twice as large as the measure of the first measure of the third angle is 30° le

ss than the sum of the measures of the other two angles find measure of each angle
Mathematics
1 answer:
Alex777 [14]1 year ago
4 0

Applying the triangle sum theorem, we have:

First angle measure = 35°

Second angle = 70°

Third angle = 75°

<h3>What is the Triangle Sum Theorem?</h3>

According to the triangle sum theorem, all angles in a triangle will give a sum of 180 degrees.

First angle measure = x

Second angle = 2x

Third angle = (2x + x) - 30 = 3x - 30

x + 2x + 3x - 30 = 180 [triangle sum theorem]

6x - 30 = 180

6x = 180 + 30

6x = 210

x = 210/6

x = 35

First angle measure = x = 35°

Second angle = 2x = 2(35) = 70°

Third angle = 3x - 30 = 3(35) - 30 = 75°

Learn more about the triangle sum theorem on:

brainly.com/question/7696843

#SPJ1

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Ay bought a guitar on sale at 45% off. The original price was $576.75.
Mademuasel [1]

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Taya2010 [7]
\boxed { \boxed { a_n = a_1 + d(n - 1)}}

a_{14} = -33 , a_{15} = 9,

a_{14} =  a_1 + d(14 - 1) = -33
a_1 + 13d = -33

a_{15} = a_1 + d(15 - 1) = 9
a_1 + 14d = 9

So the two equations:
a_1 + 13d = -33 ----------------- ( 1 )
a_1 + 14d = 9     ----------------- ( 2 )

(2) - (1) :
d = 42  ----------------- (Sub into 1)

a_1 + 13(42) = -33
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\boxed { \boxed { a_n = -578 + 42(n - 1)}}




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