Please help me I’m been trying to do this for 30 mins

a triangle's angle will always sum up to 180°

In question 7, you can easily find X by first adding 36 + 36. This sums up to 72°. Now you have to subtract 72° from 180°. X = 108°

For question 9, X = 132°

Question 8, X = 58°>

Hope this helps

Question 7: m∠ x° = 108°

Question 8: m∠ x° = 48°

Question 9: m∠ x° = 8°

Step-by-step explanation:

Regardless of the type of triangle you are dealing with, always remember that the sum of the measures of any triangle is 180°.

Given the two angles of a triangle: ∠36° and ∠36°, then it means that m∠ x° is:

m∠ x° = 180° - 36° - 36°

m∠ x° = 108°

Therefore, the value of x = 108°.  Since two of its angles have the same measure of 36°, then it means that the given triangle is an isoceles triangle. Also, since once of its angles has a measure that is greater than 90°, then the triangle is also an obtuse triangle. In other words, the given triangle is an obtuse isoceles triangle.

Note:

Another way of solving question 7 is to add the two given measures of angle and subtract their sum from 180°.

Simiar to question 7, you could simply add the two given measures of a triangle, °42 and 90°, and subtract their sum from 180° to find the value of x.

m∠ x° = 180° - (42° + 90°)

m∠ x° = 180° - 132°

m∠ x° = 48°

Therefore, the value of x = 48°.  Since one of its angles has a measure of 90°, then it means that it is a right triangle. Also, since none of its angles have the same measure, then it means that the given triangle is a scalene triangle.  In other words, the given triangle is a scalene right triangle.

The easiest way of solving this given problem is to solve for x algebraically. We can set up the following equation to solve for x:

180° = m∠ x° + m∠ 126° + m∠ 22°

180° = 4x° +  126° + 22°

180° = 4x° +  148°

Subtract 148° from both sides:

180° - 148° = 4x° +  148° - 148°

32° = 4x°

Divide both sides by 4 to solve for x:

32°/4 = 4x°/4

8 = x

Hence, the value of x = 8°. Verify whether we have the correct value for x by substituting its value to the equation:

180° = 4x° +  126° + 22°

180° = 4(8)° +  126° + 22°

180° = 32° +  126° + 22°

180° = 180° (True statement).

Since none of the three angles have the same measure (scalene), and that one of the angles is greater than 90° (obtuse). Therefore, the given triangle is an obtuse scalene triangle.    

geometry: triangles

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answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation: