Question

A
4. Find ZACD.
AI
(3x + 5)
(7x-9)
B
C D​

Answer 1

Question:

In triangle ABC, BC was extended to D. Then, Fine Angle ACD.

Analysis:

Triangle: A simple bounded by figure formed by 3 line segments.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.

Exterior Angle of a Triangle: The exterior angle of a triangle is the angle formed between one side of a triangle and the extension of its adjacent side. In other words, the sum of each interior angle and its adjacent exterior angle is equal to 180 degrees (straight line).

Solution:

Given,

ABC is a Right Angled ∆le, BC was extended to D

Angle A = (3x+5)°, Angle B = 90°

Angle D = (7x-9)°

$\boxed{\sf{Exterior\;Angle = Sum\;of\;two\; Opposite\; Interior\; Angles}}$

$→\;{\sf{Angle\;BAC+Angle\;ABC = Angle\;ACD}}$

$→\;{\sf{(3x+5)°+90° = (7x-9)°}}$

$→\;{\sf{3x+95° = 7x-9°}}$

$→\;{\sf{95°+9° = 7x-3x}}$

$→\;{\sf{104° = 4x}}$

$→\;{\sf{x = \cancel{\frac{104°}{4}}}}$

$→\;{\sf{x = 26°}}$

Substitute value of x in (7x-9)°

➝ 7(26°)-9°

➝ 182°-9°

→ 173°

AnSweR:

Value of Angle ACD ◕➜ $\Large{\red{\bf{173°}}}$

Hope It Helps You ✌️

Answer 2

Answer:

173

Step-by-step explanation: