Question

FIND THE VALUE OF X.
Who can give answer I like there all answer .
$Tex]\color{green}{Verified Answer}[$
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Answer 1

Step-by-step explanation:

in triangle ABC ,

46+ angle x + angle x = 180

2 angle x = 180-46 = 134

angle x = 67

Answer 2

$\huge{\underline{\bf\red{QuestiØn} :}}$

Find the value of x .

$\huge{\underline{\bf\blue{SolutiØn}\ :}}$

We know that,

in a triangle,

• $\sf ext. \angle = sum \: of \: int. \: opp. \: \angle s$

Thus,

$\bf In \: \triangle CDE , \\ \\ \begin{aligned} \sf \angle ECD \: & \sf = \angle AED - \angle EDC \\ \\ &= 132 \degree - 54 \degree \\ \\ & = (132 - 54) \degree \\ \\ & = 78 \degree & & & & & & \end{aligned}$

Now,

$\bf In \: \triangle ABC , \\ \\ \begin{aligned} \sf \angle BAC \: & \sf = \angle ACD - \angle ABC \\ \\ & \sf = \angle ECD - \angle ABC \\ \\ &= 78 \degree - 46 \degree \\ \\ & = (78 - 46) \degree \\ \\ & = 32 \degree & & & & & & \end{aligned}$

HENCE ,

$\underline{\boxed{ \bf \quad x = 32 \degree \quad}}$

$\red{\rule{5.5cm}{0.02cm}}$

$\Large{ \mid {\underline{\underline{\bf\green{BrainLiest \ AnswEr}}}} \mid }$