Question

Find the value of the letters in the photo

Answer 1

Answer:

a = 98

b = 82

c = 58

d =  122

Step-by-step explanation:

Ok so I tried to find b first since that was the easiest.

The other side from b is going to be 98 because of the vertical angles theorem, and adding 98 with b will be 180 because of supplementary angles.

180-98=b

82=b

I looked for letter a next. I used the alternate interior angles with letter a and the other side of b. Alternate interior angles always equal each other so therefore the opposite from letter a is 82. 180-82=98

C is 58 from an interior angles theorem I learned a year ago and forgot (sorry. hmm i think its called corresponding angles theorem)

And letter D is found by taking the vertical angle from C and giving it the value of 58 since C is also 58. Now we know that the other side from d is 58 and adding 58 with d will get us 180 since they are both supplementary angles.

d+58=180

d=122

Sorry for my sketchy explanation I learned this a year ago and I don't remember the names of the explanations well

Answer 2

Answer:

a = 98° , b = 82°, c = 58° , d = 122°

Step-by-step explanation:

a and 98° are corresponding angles and are congruent , so

a = 98°

a and b are same- side interior angles and sum to 180° , that is

b + 98° = 180° ( subtract 98° from both sides )

b = 82°

c and 58° are corresponding angles and are congruent , so

c = 58°

c and d are adjacent angles on a straight line and sum to 180°

d + 58° = 180° ( subtract 58° from both sides )

d = 122°