In a triangle the measure of the first angle is four times the measure of the second angle. The measure of the third angle is 18 degrees more than the second angle. What is the measure of the first angle?
68
43
17
95
54 degrees
Let the first angle be x the second angle be 4x and the third angle be 80+4x+x: x+4x+80+4x+x = 180 Collect like terms: 10x = 180-80 10x = 100 x = 10 Therefore the measure of the second angle is 40 degrees.
If two angles are complementary, then they equal 90 degrees. If one angle is 62 degrees we subtract it from 90 and get 38 degrees.
first you have to change this into equation by "translating" it into math. so let x= the first angle 90-x ( because complementary means they add up to 90) = the second angle x= (90-x) + 20 x+x = 90-x+20+x 2x = 90-20 2x = 70 x = 35 the smaller angle = 35 degrees
False. Assume that you had a two right triangles with one congruent acute (<90 degrees) angle in common. Let x represent the number of degrees in this angle in both triangles (which we can do since the angles are congruent). Let y represent the degree of the other angle in the first triangle and let z represent the degree of the other angle in the second triangle. We know that the sum of the degrees of the angles in a triangle is 180. So for the first triangle we have, 90+x+y = 180 For the second triangle, 90+x+z=180 Therefore, 90+x+y=90+x+z Subtract the 90+x from each side: y=z Therefore the degrees of the angles of the two triangles both are 90 [because they are both right triangles], x [because we said that this is the number of degrees of the congruent angles given in the problem], and y [because y=z]. Because the three angles of both triangles have the same measurement, the triangles must be similar.
100.
If its a right angle triangle then the second acute angle is 62 degrees
The third angle is (128 degrees) minus (the second angle).
It is 90-28 = 62 degrees
54 degrees
It will be 62 degrees because 90-28 = 62
The sum of the measures of the angles of a triangle is 180 degrees. First, calculate the sum of the two known angles. Then subtract that result from 180. That difference is the measure of the third unknown angle. Given: One angle of a triangle is 15 degrees and the second angle of the triangle is 85 degrees. To find: We need to find the third angle of the triangle. Let the third angle of the triangle be x. We know that the sum of the angles in a triangle is 180 degrees. ==> 15 degrees + 85 degrees + x degrees = 180 degrees. ==> 100 degrees + x degrees = 180 degress. ==> x = 180 degrees - 100 degrees. ==> x = 80 degress. Therefore the third angle of the triangle is 80 degrees.
The angles are: 43 degrees. 38 degrees and 99 degrees which all add up to 180 degrees
Let the measure of the first angle be x⁰. So that the second angle would be (x + 21)⁰, and the third one would be (x - 15)⁰.Since the sum of angle measures in a triangle is 180⁰ we have:x + x + 21 + x - 15 = 1803x = 174x = 58Thus, the first angle is 58⁰, the second angle is 79⁰, and the third angle is 43⁰.
isoselles triangleImproved Answer:-The third angle has to be 90 degrees so it is a right angle triangle.
Let's assume the measure of the first angle is x degrees. The second angle is one-third as large as the first, so its measure is (1/3) * x = x/3 degrees. The third angle is two-thirds as large as the first, so its measure is (2/3) * x = 2x/3 degrees. Therefore, the measures of the angles in the triangle are x degrees, x/3 degrees, and 2x/3 degrees.
== == The corresponding angle is 60 degrees.