Your friend is making a pattern for quilt pieces. her pattern is a right angle with two acute angles that complementary. the measure of one of the angles is to be 12° more than half the measure of the other angle. find the measure of each angle of the triangle. show your work using the format above.

The measure of angle 1 is 52° and the measure of angle 2 is 38°

Step-by-step explanation:

we know that

If two angles are complementary, then their sum is equal to 90 degrees

Let

x ----> the measure of angle 1

y ----> the measure of angle 2

we know that

-----> equation A

----> equation B

Substitute equation B in equation A and solve for x

Find the measure of y

therefore

The measure of angle 1 is 52° and the measure of angle 2 is 38°

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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