The value of x is 27°.
Solution:
Given
.
∠A = 3x – 10, ∠C = 45°, ∠D = 2x + 10
<em>If two triangles are congruent, then the angles are congruent.</em>
∠A = ∠E (Alternate interior angles)
∠C = ∠C (Reflexive property)
∠B = ∠D (Alternative interior angles)
⇒ ∠B = 2x + 10
<em>Sum of the interior angles of the triangle = 180°</em>
In ΔACB,
3x – 10 + 45° + 2x + 10 = 180°
5x + 45° = 180°
Subtract 45° on both sides of the equation.
5x = 135°
Divide by 5 on both sides of the equation.
x = 27°
The value of x is 27°.
Hi there!
The answer you're looking for is
218 because 10+4 exponent 4 - 6 x 8 that's the parenthesis then you find the answer to the exponent = 10 + 256 - 48 Then you add and subtract 10+256-48=218 Hope it helps <3
Answer: The 4th Venn diagram. (A and B aren't touching, A and B are touching C though.)