What is the value ofny when -5 y-7/9

Please help! I think I have the equation set up.

ExtremeBDS [4]

$\bold{\huge{\underline{ Solution }}}$

<h3>Given :-</h3>

Here, we have given one quadrilateral that is quadrilateral ABCD
We also have given the angles of quadrilateral that is ( 6x + 5)° , ( 9x - 10)° , 80° and a right angle

Here, we have to find the value of x

<h3>Let's Begin :- </h3>

We have given quadrilateral ABCD here , whose angles are as follows

Angle A = ( 6x + 5)°
Angle B = ( 9x - 10)°
Angle C = 80°
Angle D = A right angled triangle

[ The measure of right angled triangle is 90° ]

We know that, 

Sum of the angles of quadrilateral is equal to 360°

That is 

$\bold{\angle{ A + }}{\bold{\angle{B +}}}{\bold{\angle{C + }}}{\bold{\angle{D + = 360{\degree}}}}$

Subsitute the required values 

$\sf{ ( 6x + 5){\degree} + 80{\degree}+ 90{\degree} + (9x - 10){\degree} = 360{\degree}}$

$\sf{ 6x + 5 + 170{\degree} + 9x - 10 = 360{\degree}}$

$\sf{ 15x - 5 = 360{\degree} - 170{\degree}}$

$\sf{ 15x - 5 = 190 {\degree}}$

$\sf{ 15x = 190 {\degree} + 5 }$

$\sf{ 15x = 195 {\degree}}$

$\sf{ x = }{\sf{\dfrac{ 195}{15}}}$

$\sf{ x = }{\sf{\cancel{\dfrac{ 195}{15}}}}$

$\bold{ x = 13 }$

Hence, The value of x is 13 .

$\bold{\huge{\underline{\red{ Verification }}}}$

Measure of Angle A

$\sf{ = (6x + 5){\degree}}$

$\sf{ = (6(13) + 5 ){\degree}}$

$\sf{ = (78 + 5 ){\degree}}$

$\sf{ = 83{\degree}}$

Measure of Angle D

$\sf{ = (9x - 10){\degree}}$

$\sf{ = (9(13) - 10){\degree}}$

$\sf{ = (117 - 10 ){\degree}}$

$\sf{ = 107{\degree}}$

Now, we know that, 

Sum of angles of triangles is equal to 360°

That is, 

$\sf{ 83{\degree} + 80{\degree}+ 90{\degree} + 107 {\degree} = 360{\degree}}$

$\sf{ 163{\degree}+ 90{\degree} + 107 {\degree} = 360{\degree}}$

$\sf{ 253{\degree}+ 107 {\degree} = 360{\degree}}$

$\bold{ 360{\degree} = 360{\degree}}$

$\bold{ LHS = RHS }$

Hence, Proved.

8 0

2 years ago

Help me with thsi quistion plzzzzz anyone

Marat540 [252]

Answer:

a=4 sq ft

b=8 sq ft

c=14 sq ft

d=4 sq ft

e=6 sq ft

f=9 sq ft

g=12 sq ft

h=16 sq ft

Step-by-step explanation:

lxh

=a

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3 years ago

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Step-by-step explanation:

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