Step-by-step explanation:
Hey, there!!
Let's simply work with it,
MA is perpendicular to AT.
To find: angle HAT.
Now,
angle HAT + (2x + 2)° + (3x + 5)° = 90° { As MA perpendicular to AT. }
Now,
Replace angle HAT by (3x - 5)°.
(3x-5)° + (2x+2)° + (3x+5)° = 90°
Open brackets,
3x - 5° + 2x + 2° + 3x + 5° = 90°
Add like terms.
8x + 2°= 90°
8x = 90°-2°
[tex]x = \frac{88°}{8} [/tex]
x= 11°.
Now, finding the value of angle HAT.
(3x-5)° = 3×11°-5°
Therefore, angle HAT is 28°.
Hope it helps...
