Question

solve the unknown in the two figure find X. WILL MARK YOU AS BRAINELIST IF YOU DO IT STEP BY STEP AND THIS QUESTION IS OF 100 POINTS​

Answer 1

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$\angle x=65\degree$ (Vertically Opposite angles)

Now, we know that,

Sum of all angles of a triangle is 180.

So,

$x + y + 50 \degree = 180 \degree$

$\implies y + 115 \degree = 180 \degree$

$\implies y =( 180 - 115)\degree$

$\implies y =65 \degree$

Now,

$a = 180 \degree - x \degree$

$= 180 \degree - 65 \degree$

$= 115 \degree$

Also,

$\angle b = \angle a$

$= 115 \degree$

(Since, the angles are vertically opposite angles)

$\star\:\:\:\bf\large\underline\blue{Answer:-}$

• $x = 65 \degree$
• $y = 65 \degree$
• $a = b = 115 \degree$

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From the figure, we can say that,

$\Delta BCD$ is an isosceles triangle since $BC=DC$.

So,

$\angle CBD=\angle CDB=50\degree$

Now,

$\angle z=180\degree-(50+50)\degree$

$=80\degree$.

Similarly, $\Delta ABD$ is an isosceles triangle since $AB=AD$.

So,

$y = \frac{180 \degree - 100 \degree}{2}$

$= 40 \degree$

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• $x = 50 \degree$
• $y = 40 \degree$
• $z = 80 \degree$

Answer 2

Answer:

GIVEN,

BASE = 8 CM

PERPENDICULAR = 6 CM

SO HERE WE USE THIS FORMULA

H² = P² + B²

H² = 6² + 8²

H² = 36 + 64

H² = 100

H = √100

H = 10 cm

X = H

SO, H = 10 CM ANS...