Help Me please Thx :)
Answers
Answer:
x=121°
Step-by-step explanation:
Let the triangle be ABC.
Let ∠A be y.
A/q,
304°+y=360°
y=56°
or ∠A=56°
For ∠B,
∠B=180°-115° (Linear pair is formed here)
∠B=65°
Then ∠C would be 180°-(65°+56°) (By Angle Sum Property)
∠C=180°-121°
∠C=59°
Now, here is also a linear pair formed.
So, ∠C+x=180°
⇒x=180°-59°
⇒x=121°
Brain it on!!
1. In a triangle, the sum of all the interior angles is 180°.
2. In a triangle, any exterior angle is equal to the sum is the opposite interior angles.
Using these two properties, we can answer the above question.
Here,
Here, Here, Interior Angle A = 360° - 304° = 56°
Here, Here, Interior Angle A = 360° - 304° = 56°Here, Interior Angle A = 360° - 304° = 56°Interior angle B = 180° - 115° = 65°
Here, Here, Interior Angle A = 360° - 304° = 56°Here, Interior Angle A = 360° - 304° = 56°Interior angle B = 180° - 115° = 65° USING PROPERTY |
Here, Here, Interior Angle A = 360° - 304° = 56°Here, Interior Angle A = 360° - 304° = 56°Interior angle B = 180° - 115° = 65° USING PROPERTY |Interior Angle C = 59°
Here, Here, Interior Angle A = 360° - 304° = 56°Here, Interior Angle A = 360° - 304° = 56°Interior angle B = 180° - 115° = 65° USING PROPERTY |Interior Angle C = 59°Angle X and angle C are supplementary.
Here, Here, Interior Angle A = 360° - 304° = 56°Here, Interior Angle A = 360° - 304° = 56°Interior angle B = 180° - 115° = 65° USING PROPERTY |Interior Angle C = 59°Angle X and angle C are supplementary.Hence angle X = 180° - 59° = 121°.
Here,
Interior Angle A = 360° - 304° = 56°
Interior angle B = 180° - 115° = 65°
USING PROPERTY ||
Exterior angle X = Interior angle A + Interior angle B
= 56° + 65° = 121°.