Answer:
41°
Step-by-step explanation:
A triangle is a shape with three angles and three sides. There are different types of triangles such as equilateral triangle, scalene triangle, isosceles triangle, right angled triangle and so on.
An isosceles triangle is a triangle in which two sides and two angles are equal to each other.
In triangle CAT, ∠C = ∠T (base angles of an isosceles triangle are equal):
∠A + ∠C + ∠T = 180° (sum of angles in a triangle).
Hence substituting gives::
(9x + 8) + (3x + 11) + (3x + 11) = 180
9x + 3x + 3x + 8 + 11 + 11 = 180
15x + 30 = 180
15x = 180 - 30
15x = 150
x = 150 / 15
x = 10°
Hence ∠A = 9x + 8 = 9(10) + 8 = 98°, ∠C = ∠T = 3x + 11 = 3(10) + 11 = 30 + 11 = 41°
