Find the values of the unknown angles marked with letters. 50 points!!!!!!!

Mathematics

2 answers:

Romashka [77]3 years ago

4 0

a=115°(Alternate interior angles)
b=70°(Alternate interior angles

C:-

$\\ \sf\longmapsto c+115=180$

$\\ \sf\longmapsto c=180-115$

$\\ \sf\longmapsto c=65°$

D:-

$\\ \sf\longmapsto d+70=180$

$\\ \sf\longmapsto d=180-70$

$\\ \sf\longmapsto d=110°$

IceJOKER [234]3 years ago

3 0

Answer:

a = 115°, alternate interior angles are congruent
b = 70°, same as above
c = 180° - 115° = 65°, angles forming a straight angle are supplementary
d = 180° - 70° = 110°, same as above

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nadya68 [22]

Answer:

Right option is B.

Step-by-step explanation:

$\sf \longrightarrow \frac{ \sec x \sin( - x) + \tan( - x) }{1 + \sec( - x) } \\ \\ \sf \longrightarrow \frac{ \sec x( - \sin x) - \tan x}{1 + \sec x} \\ \\ \sf \longrightarrow \frac{ - \frac{1}{ \cos x } \times \sin x - \tan x }{1 + \sec x} \\ \\ \sf \longrightarrow \frac{ - \tan x - \tan x}{1 + \sec x} \\ \\ \sf \longrightarrow \frac{ - 2 \tan x}{1 + \sec x} \\ \\ \sf \longrightarrow \frac{ \frac{ - 2 \sin x}{ \cos x} }{1 + \frac{1}{ \cos x} } \\ \\ \sf \longrightarrow \frac{ \frac{ - 2 \sin x}{ \cos x} }{ \frac{ \cos x + 1}{ \cos x} } \\ \\ \boxed{ \sf{\longrightarrow \frac{ - 2 \sin x}{ \cos x + 1} }}$