Question

Find x May I please receive help?

Answer 1

Answer:

x=54 degrees

Step-by-step explanation:

A triangle is has 3 angles that add up to a total of 180 degrees, the given degree for one of those angles is 72. 72+72=144, 180-144=36. Since the two triangles add up to 90 degrees, 90-36=54. 54+54=108, 180-108=72. I hope this helps :)

Answer 2

Answer:

x = 63°

Step-by-step explanation:

See the attachment

The measure of the angles in a triangle = 180 .  If the sides of a triangle are congruent, then the base angles are equal.  So in the triangle with the 72°, you have another angles = 72°.  Looking at the same triangle, 72° + 72° + part of the right angle = 180°. Do the math!  72° + 72° = 140°; 180° -144° = 36° (this is the measure of the piece of the right angle that is in the triangle with the 72° angle..   So the other part of the 90°(right angle) = 90° - 36° = 54°.

Now to solve for x:  You know that if the sides are congruent in a triangle, then the base angles are equal. Thus this triangle angles are x, x, and 54°.

You know that a triangle = 180°, so x + x + 54° = 180°; 2x +54° = 180°;           2x = 126°; x = 63°

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