Answer:
if you mean find OS, then:
OS = 42
Step-by-step explanation:
if you mean find OS, then:
8x-51 = 3x-6
5x = 45
x = 9
OS = 2(3x-6)
OS = 6x-12
substitute for x
OS = 6(9)-12 =42
Angle UTV is basically given: it's 138°.
Moreover, since UTV is isosceles, the other two angles have the same measure x. We thus have
So, TUV is 21°, and VUW is complementary, so it must be 69° so that they sum up to 90°
Answer:
x = 11º
Step-by-step explanation:
1. Notice Parallel Lines
2. Understand Angle Relationships When Parallel Lines Are Present (e.g., alternate interior/exterior)
3. ∠CAB ≅ ∠DCA ∴ m∠CAB = 33º
4. Use exterior angle theorem: the sum of non-adjacent angles of the same triangle which the exterior angle is drawn is equal to the measure of that angle.
5. Therefore write and solve the equation 2x + 33º (sum of non-adjacent interior angles) = 5x (exterior angle).
- 2x + 33 = 5x (C.L.T or <u>C</u>ombine <u>L</u>ike <u>T</u>erms)
- 3x = 33 (inverse operations; divide by 3)
- x = 11º (remember to apply units)
9+12>18
12+18>9
9+18>12
So, yes. A triangle can be formed by the given angles.
