Math, asked by daquestioner, 9 months ago

Help Me please Thx :)

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Answered by AdorableMe
33

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!!

Answered by Saby123
3

</p><p>\huge{\fbox{\fbox{\rightarrow{\bigstar{\leftarrow{\mathfrak {\blue {Answer \: X \: = \: 121° }}}}}}}}

</p><p>\orange {\underline {\underline {Step-By-Step-Explaination \: -}}}

</p><p>\red {\underline {\underline {Properties \: Of \: Triangles \: : }}}

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.

</p><p>\huge{\fbox{\fbox{\underline{\mathfrak{\green{Method \: 1 }}}}}}

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°.

</p><p>\huge{\fbox{\fbox{\underline{\mathfrak{\green{Method \: 2 }}}}}}

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°.

\huge{\fbox{\fbox{\bigstar{\mathfrak{\red{Hope \: It \: Helps !!! }}}}}}

\huge{\fbox{\fbox{\rightarrow{\bigstar{\leftarrow{\mathfrak{\blue{.....End ....}}}}}}}}

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