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2 years ago

Geometry help!! I need help on #13, find the values of the variables:

Mathematics

2 answers:

aleksklad [387]2 years ago

6 0

T= 60
w=60
because 30+90 gives you 120... and 180-120 gives you 60 so t = 60

and w= 60 because the angle across from it will equal the same

ivanzaharov [21]2 years ago

3 0

T and W would both equal 60

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Step-by-step explanation:

Incomplete question:

$\angle CBD = 53^\circ$

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See attachment for complete question

Required

Determine the equation to find x

First, is to complete the angles of the triangle (ABC and ACB)

$\angle ABC + \angle CBD = 180$ --- angle on a straight line

$\angle ABC + 53= 180$

Collect like terms

$\angle ABC =- 53+ 180$

$\angle ABC =127^\circ$

$\angle ABC + \angle ACB + \angle CAB = 180$ --- angles in a triangle

$\angle ACB + 127 + 35 = 180$

Collect like terms

$\angle ACB =- 127 - 35 + 180$

$\angle ACB =18$

Apply sine rule

$\frac{\sin A}{a} = \frac{\sin B}{b}$

In this case:

$\frac{\sin ACB}{AB} = \frac{\sin CAB}{x}$

This gives:

$\frac{(\sin 18^\circ)}{75} = \frac{(\sin 35^\circ)}{x}$

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