Question

IM BEGGING PLEASEEE 100 POINTS FAST!!!!

a) The following sets of triangles, solve for the missing angles F, G, and H.

b) Then re-draw BOTH triangles, so they have the same orientation.

c) State each pair of corresponding angles and sides.

Answer 1

Explanation:

To find the missing angle measure of F, we must solve the equation

angle D + angle F + angle E = 180 degrees, which is the measure of a triangle

Plugging in the given measures, we get

46 + angle F + 47 = 180

subtract the two constants from the left

angle F = 87 degrees

To figure out the measures of triangle HFG, we must first use the Vertical Angles Theorem. This theorem states that the vertical angles that are formed when two lines intersect are congruent. From our problem, this means that angle DFE is congruent to angle HFG. This means angle HFG = 87 degrees also.

Not sure of the other rules for the angles, but in short angle D is congruent to H. So angle H = 46 degrees. Angle E is congruent to G, so angle G = 47 degrees.

a.

Angle F = 87 degrees

Angle G = 47 degrees

Angle H = 46 degrees

b. check attachment

c.

angle D is congruent to angle H

angle F is congruent to angle F

angle E is congruent to angle G

line segment DF is similar to line segment HF

line segment FE is similar to line segment FG

line segment ED is similar to line segment GH

Hope this helps :3