•What is the value of X? •What is the measure of angle C?
Also 50 points answer because I feel like it lol.​

solution given:

3(x+2)+35°+52°=180°[sum of interior angle of a traingle is 180°]

3(x+2)=180-87

x+2=93/3

x+2=31

x=31-2=29°

value of x=29°

again

<C=3(29°+2)=93°

the measure of angle C=93°

x = 29

angle c = 93

Step-by-step explanation:

Angles in a triangle add up to equal 180

That being said we create an equation to solve for x

180 = 3(x+2) + 52 + 35

Now we solve for x using basic algebra

step 1 distribute the 3 to ( x and 2 )

3 * x = 3x

3 * 2 = 6

now we have 180 = 3x + 6 + 52 + 35

step 2 combine like terms

6 + 52 + 35 =93

now we have 180 = 93 + 3x

step 3 subtract 93 from each side

93 - 93 cancels out

180 - 93 = 87

now we have 87 = 3x

step 4 divide each side by 3

3x / 3 = x

87 / 3 = 29

we're left with x = 29

Now we want to find the measure of angle C

To do so we plug in 29 for "x" in 3 ( x + 2)

3 ( 29 + 2 )

29 + 2 = 31

3(31) = 93

Hence angle c = 93

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.