Question

I will give 25 points and brainy from right answers (Please answer all!)!!!

Answer 1

1. D.  because the angels of KRC and CRH added together is 180 degrees. Which equals a straight line.

2. Answer is A . BHR is equal to NHD, so it is 8x. But we need to find x first.
The right angle in the picture is 8x + (9x +5)
90 =8x + 9x +5
90 = 17x + 5
85 = 17 x
5 = x.
X is 5 so 8x is 40.

3. B. The opposite angles are equal to each other. and the sum of two angles side by side equal 180.
6x - 82 = 3x +23 
group like terms
6x - 3x = 23 + 82
3x = 105
x = 35.
Answer is B
4.B.   a complement angle added together will get you 90.
90 - 41 = 49
Answer is B

Answer 2

Answer:

1.D

2.A

3.B

4.$49^{\circ}$

Step-by-step explanation:

1.We have to find he pair of linear angles

From given figure

$\angle KRM+\angle MRH=180^{\circ}$

$\angle KRT+\angle KRM=180^{\circ}$

$\angle MRH+\angle HRT=180^{\circ}$

$\angle KRT+\angle HRT=180^{\circ}$

$\angle ERM+\angle MRC=180^{\circ}$

$\angle ERT+\angle CRT=180^{\circ}$

$\angle ERT+\angle ERM=180^{\circ}$

$\angle CRH+\angle HRE=180^{\circ}$

$\angle KRC+\angle CRH=180^{\circ}$

Hence, option D is true.

2.We have to find the angle BHR

$\angle NHD+\angle SHD=90^{\circ}$

$8x+9x+5=90$

$17x=90-5$

$17x=85$

$x=\frac{85}{17}$

$x=5$

substitute the value of x

Then $\angle SHD=9\times5+5=50^{\circ}$

$\angle SHD+\angle RHS+\angle BHR=180^{\circ}$

$90+50m\angle BHR=180$

$\angle BHR=180-140=40^{\circ}$

Hence, $m\angle BRH=40^{\circ}$

Option A is true.

3.We have to find the value of x

$6x-82=3x+23$ (vertical angles are equal )

$6x-3x=23+82$

$3x=105$

$x=\frac{105}{3}=35$

Hence, the value of x=35

Option B

4.We are given that an angle measure $41^{\circ}$

We have to find the value of its complement

We know that complete angles sum is equal to 90 degrees

Therefore,  complement =90-41=[/tex]49^{\circ}[/tex]

Hence, the complement of 41 degrees is 49 degrees.

Option B