# SAT Math: Using the Properties of Special Right Triangles to Measure an Angle

In triangle ΔXYZ, angle Y measures 90°. If , what is the measure of angle Z?

Product Type | SAT Math |

SAT | SAT Math |

SAT Math | Additional Topics in Math Geometry and Measurement |

Test Prep | SAT Math |

### Transcript

triangles The first has special side such as a three

four five triangle Well the second has special angles This

questionnaire first to one of the two special right triangles

with special angles either thirty sixty ninety or a forty

five forty five ninety one right that I saw Sally's

flavour Well it's helpful to know their side proportion So

here they are Okay well since the co signed value

and the problem has no square rooted to the answer

is related to a thirty sixty ninety triangle draw One

label sides X Y n z and make sure why

is the right angle Well the coast sign of an

angle is the length of the adjacent leg divided by

the hop hot news we're given co sign a Z

and the leg Jason toe angles E is y Z

So let's just label those and the high pot news

I will look at this alongside the example triangle right

here They look like they've got a whole lot in

common but the main point is the acts which is

equivalent toe y Z with length of one right there

Well the angle opposite that side is thirty degrees This

thing right That thirty Well but is not the answer

The problem wants angles E which is one eighty minus

ninety minute thirty Which his sixty degrees That's angles e

O and wait We forgot all about that third type

of special triangle Yeah about that There isn't one You

were trying to set up a joke using the old

rule of threes but we're tapped out of comedy here 00:01:38.58 --> [endTime] so just that's it It's c bye Hello